DDP PackedSequence

Nobody has claimed this yet.

### Bug description

Batches with PackedSequence's and DDP don't work.
On single GPU everything is OK.

### How to reproduce the bug

the structure of the batch.
```python
[ReactionDecoderDataBatch(), # named tuple of tensors
RecurrentTreeDataBatch(inputs=PackedSequence(....), targets=PackedSequence(), idx=tensor([ 0, 0, 0 29])) # named tuple
]
```

### Error messages and logs

```py
Epoch 0: 0%| | 0/90707 [00:10
trainer.fit(model, dl)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 582, in fit
call._call_and_handle_interrupt(
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/call.py", line 38, in _call_and_handle_interrupt
return trainer_fn(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 624, in _fit_impl
self._run(model, ckpt_path=self.ckpt_path)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 1061, in _run
results = self._run_stage()
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 1140, in _run_stage
self._run_train()
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 1163, in _run_train
self.fit_loop.run()
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/loop.py", line 199, in run
self.advance(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/fit_loop.py", line 267, in advance
self._outputs = self.epoch_loop.run(self._data_fetcher)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/loop.py", line 199, in run
self.advance(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/epoch/training_epoch_loop.py", line 214, in advance
batch_output = self.batch_loop.run(kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/loop.py", line 199, in run
self.advance(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/batch/training_batch_loop.py", line 88, in advance
outputs = self.optimizer_loop.run(optimizers, kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/loop.py", line 199, in run
self.advance(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/optimization/optimizer_loop.py", line 200, in advance
result = self._run_optimization(kwargs, self._optimizers[self.optim_progress.optimizer_position])
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/optimization/optimizer_loop.py", line 247, in _run_optimization
self._optimizer_step(optimizer, opt_idx, kwargs.get("batch_idx", 0), closure)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/optimization/optimizer_loop.py", line 357, in _optimizer_step
self.trainer._call_lightning_module_hook(
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 1305, in _call_lightning_module_hook
output = fn(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/core/module.py", line 1661, in optimizer_step
optimizer.step(closure=optimizer_closure)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/core/optimizer.py", line 169, in step
step_output = self._strategy.optimizer_step(self._optimizer, self._optimizer_idx, closure, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/strategies/ddp.py", line 281, in optimizer_step
optimizer_output = super().optimizer_step(optimizer, opt_idx, closure, model, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/strategies/strategy.py", line 234, in optimizer_step
return self.precision_plugin.optimizer_step(
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/plugins/precision/native_amp.py", line 85, in optimizer_step
closure_result = closure()
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/optimization/optimizer_loop.py", line 147, in __call__
self._result = self.closure(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/optimization/optimizer_loop.py", line 133, in closure
step_output = self._step_fn()
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/loops/optimization/optimizer_loop.py", line 406, in _training_step
training_step_output = self.trainer._call_strategy_hook("training_step", *kwargs.values())
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/trainer/trainer.py", line 1443, in _call_strategy_hook
output = fn(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/pytorch_lightning/strategies/ddp.py", line 352, in training_step
return self.model(*args, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/torch/nn/modules/module.py", line 1190, in _call_impl
return forward_call(*input, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/torch/nn/parallel/distributed.py", line 1040, in forward
output = self._run_ddp_forward(*inputs, **kwargs)
File "/usr/local/lib/python3.10/dist-packages/torch/nn/parallel/distributed.py", line 993, in _run_ddp_forward
inputs, kwargs = _to_kwargs(
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 94, in _to_kwargs
_recursive_to(inputs, device_id, use_side_stream_for_tensor_copies)
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 86, in _recursive_to
res = to_map(inputs)
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 77, in to_map
return list(zip(*map(to_map, obj)))
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 79, in to_map
return [list(i) for i in zip(*map(to_map, obj))]
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 75, in to_map
return [type(obj)(*args) for args in zip(*map(to_map, obj))]
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 75, in to_map
return [type(obj)(*args) for args in zip(*map(to_map, obj))]
File "/usr/local/lib/python3.10/dist-packages/torch/distributed/utils.py", line 75, in
return [type(obj)(*args) for args in zip(*map(to_map, obj))]
File "/usr/local/lib/python3.10/dist-packages/torch/nn/utils/rnn.py", line 68, in __new__
*_packed_sequence_init_args(data, batch_sizes, sorted_indices,
File "/usr/local/lib/python3.10/dist-packages/torch/nn/utils/rnn.py", line 175, in _packed_sequence_init_args
raise ValueError(
ValueError: batch_sizes should always be on CPU. Instances of PackedSequence should never be created manually. They shouldbe instantiated by functions like pack_sequence and pack_padded_sequences in nn.utils.rnn. https://pytorch.org/docs/stable/nn.html#torch.nn.utils.rnn.pack_sequence
```

### Environment

Current environment

```
#- Lightning Component (e.g. Trainer, LightningModule, LightningApp, LightningWork, LightningFlow):
#- PyTorch Lightning Version (e.g., 1.5.0):
#- Lightning App Version (e.g., 0.5.2):
#- PyTorch Version (e.g., 1.10):
#- Python version (e.g., 3.9):
#- OS (e.g., Linux):
#- CUDA/cuDNN version:
#- GPU models and configuration:
#- How you installed Lightning(`conda`, `pip`, source):
#- Running environment of LightningApp (e.g. local, cloud):
```

### More info

_No response_

cc @justusschock @awaelchli

Start with the DDP input handling in torch/distributed/utils.py, especially _recursive_to, and the PackedSequence construction path in torch/nn/utils/rnn.py. Reproduce the nested named-tuple batch under DDP and compare it with single-GPU behavior; done means the PackedSequence batch no longer raises the reported batch_sizes CPU error.

Written by the indexing model from the issue text.