Is there any img2img KDiffusion equivalent of StableDiffusionKDiffusionPipeline?

### Model/Pipeline/Scheduler description

I'm working on result alignment between diffusers and A1111 webui.
In txt2img scene, I can achieve via `StableDiffusionKDiffusionPipeline`, refer to https://github.com/huggingface/diffusers/issues/3253.
But in img2img scene, is there any KDiffusion pipeline equivalent?

I'm also trying to implement this by merging `StableDiffusionKDiffusionPipeline` and `StableDiffusionImg2ImgPipeline` together.
Any clarification and help is appreciated.

### Open source status

- [ ] The model implementation is available.
- [ ] The model weights are available (Only relevant if addition is not a scheduler).

### Provide useful links for the implementation

_No response_

Start with the referenced diffusers issue #3253, then compare the entry points named in this report: StableDiffusionKDiffusionPipeline and StableDiffusionImg2ImgPipeline. Determine whether an img2img KDiffusion equivalent already exists; done would require a clear answer or a separately scoped implementation plan.

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