[franknstein]

Ahh okay I think I get it now, you are saying if chess is win for black, that immediately implies zugzwang for white from starting position. In the same way, chess being a win for white implies zugzwang for black starting position.

So chess being a win for one side is equivalent to starting position being zugzwang for the other side.

It's obvious now, but so interesting to me, I never thought about it that way! Thanks for taking time for explaining yourself.

[Gehinnn]

White could win without zugzwang! Because white starts. After the first move, the position is no longer symmetric, so it doesn't help black to skip to switch sides.