Squish and keep corners of trimmed face tagged

Hello, First time McNeel user here.
I would like to find a way to tag/ mark the corners of a trimmed surface.
my goal is to squish the individual parts of the tubular shape to make a sewing pattern, so I need to know witch corners to connect.
I have put points (on surface) on every corner and named them.
The problem is that if I Squish now, these points don’t show up on the flattened part.
Is there a way to merge/‘glue’ these points on the surface?

I can imagine there are far more efficient ways to get to my desired outcome. Open for suggestions, but I am not so much into Grasshopper yet. Thank you
tekst vlakken.3dm (5.0 MB)

You can map the points to the flattened part via Squish, jusf fyi,

Thank you for your quick response!
Easy solution that works.