The "UV Warp" modifier should have a way to handle UV islands
Currently selected vertices will all be moves regardless of which UV island they belong to.
There should be a tickbox added to the modifier to limit the operation to polygons that are fully surrounded by vertices that have been selected by the vertex group, creating new islands as needed, and respecting the boundaries of existing ones.
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It is possible to create your own UVWarp in geonodes, then feed it with boolean face attribute of faces that need uv warp.