`mkdir /run/user/1000/: permission denied` after WSL 2.0.0

### Windows Version

Microsoft Windows [Version 10.0.22631.2338]

### WSL Version

2.0.0.0

### Are you using WSL 1 or WSL 2?

- [X] WSL 2
- [ ] WSL 1

### Kernel Version

5.15.123.1-1

### Distro Version

Ubuntu 22.04

### Other Software

_No response_

### Repro Steps

I'm sorry but I'm not sure if this issue happened after upgrading to 2.0.0 or after running `wsl --manage Ubuntu --set-sparse true`, since I did both at once.

Some programs I have, like [chezmoi](https://github.com/twpayne/chezmoi), is now failing:

```console
$ chezmoi update
chezmoi: mkdir /run/user/1000/: permission denied
```

### Expected Behavior

To work as it did before.

### Actual Behavior

```console
$ chezmoi update
chezmoi: mkdir /run/user/1000/: permission denied
```

### Diagnostic Logs

No logs.

- This is apparently related to https://github.com/microsoft/WSL/issues/10473, but since my problem happened after upgrading to 2.0.0 I'm reporting it separately.

The workaround is to:

```console
sudo mkdir /run/user/1000 && sudo chmod 700 /run/user/1000 && sudo chown $(whoami): /run/user/1000
```

Which I saw somewhere but I don't remember where.

No source file or test is identified in the report. First reproduce the failure on WSL 2.0.0 with Ubuntu 22.04, checking whether sparse-disk management is involved; done means `/run/user/1000/` is created with usable permissions without the reported workaround and `chezmoi update` succeeds.

Written by the indexing model from the issue text.