I tried to play on WINE, after the starting prompt I'm shown an azure screen identical to the sky in the screen, but nothing else. The log's last line is "new player at: 0.0.0.0" with no error messages.
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The linux version isn't finding .NET; when .NET is involved from my experience it's less work to make things work with WINE rather than try to port the whole game. Either way, it's probably a lot of work for a very small amount of users, I thought it was fair to let you know the issue but I'm not suggesting you prioritize it over anything else you might be working on.