Here is something that works similar to what you describe, but without Anemone and without moving the surfaces to the ground. It is a three step process and will break if you move corner points too close to each other… That flaw might be fixable. 
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STEP 1: bake these points (Disc in labeled green group)
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STEP 2: select baked points and assign them here (Pt param in labeled green group)
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STEP 3: select baked points in Rhino and move them around
3dto2dto3d_2022Oct4b.gh (33.2 KB)
The blue pipes indicate where each point has been moved from its original location.
Top view:
Later - two top points moved down:
BEFORE on the left, AFTER on the right:
