This got to be INSANE!!!
First, I tried many different schemes using Flip Curve before giving up and trying the method you suggested:
That worked for me in five of the eight cases so… I decided to copy one set of surfaces to all eight positions, which involved some tricky sorting of points and tree branching. The first set of surfaces on the left are copied to all eight positions (white group) and the offset curves at the bottom (green group) then worked fine. 
offsetcurveerror_2022_Nov8a.gh (209.0 KB)
It’s a small step from there to use the offset curves to split the surfaces and make holes (cyan group):
offsetcurveerror_2022_Nov8b.gh (212.3 KB)