blgjdg I’m sorry if my replies offended you — that was never my intention. I genuinely believed the solutions I suggested fit your request.
For example here is a reproduction of what you have shown in the video using weights:
And here are the mesh tools used to manipulate multiple meshes at the same time:
A small consideration: usually, using many vertices with a direct deformation like this isn't great for performance, if you intend to use a runtime output. However, this is fine to use for videos, gifs, image sequences and non interactive outputs.
I appreciate your feedback and would be happy to clarify or assist further if needed.