is there a tool to generate AI videos that doesn't change the original picture so much?

Whisk redraws the entire thing and it barely resembles source picture.

Wan 2.1 can do a decent job with i2v.

https://comfyanonymous.github.io/ComfyUI_examples/wan

You want Kling: https://klingai.com/global/

Everything else performs terribly at that task, though a bunch including Sora technically have that functionality.

Google's tool forcing you to redraw the image is silly.