Source? Because I'm pretty sure it's not closed and Wikipedia seems to agree with me:
"No complete solution for chess in either of the two senses is known, nor is it expected that chess will be solved in the near future (if ever)".
https://en.wikipedia.org/wiki/Solving_chess
If chess is solved and white wins, black is always in Zugzwang. We might not know.
If chess is solved and white wins, black is always in Zugzwang. We might not know.