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Hi,
Maybe i can show you my company approach to this...:
1. we created new standard with two styles for bend lines in drawing:
it works fine..:
2. above title block we have symbol in which we describe red - bend down/ green - bend up
3. flat pattern view is placed always baseFace up. so that mean that bender gets it in state showed in drawing. you can add some rule for checking correct orientation in drawings.
that way we don't care about symmetry because the part is defined as it should and don't give much space for mistakes.
For checking symmetry i would imagine possible solution made by code without user interaction:
make symmetry in part from whole body wit result with new body, then thru subtract operation you will get part with 0 volume if part is symmetrical.