I agree that the three types available and hard wired are inadequate.
What I would like is the ability for user defined Composite skin types.
Lets say ArchiCAD would allow you to have 13 additional custom Composite skin/Complex component types in addition to the 3 available currently (Core, Finish, Other) for a total of 16. I suspect 16 different types would be adequate for everyone.
Then you could define Custom Partial Structure Display Options and for each of these you could define which skin/component types are visible/hidden. That would give the ultimate flexibility and provide for all use cases.
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