> it is legal to expose opponent to check at hands of other opponent and capture king
> it is legal to expose teammate to check
It should be legal because it doesn't affect your king.
> teammate can save from king capture especially when opponents working together and turn order
> point system wrong in FFA
> someone can save from check especially with turn order
What's wrong? Please elaborate.
> your opponent cannot capture your king if they in check but you cannot expose your king to check with an opponent who is currently in check
Well, this one... To be honest, I'd expect that if I'm checked, I can get out of check by capturing the checking player's king. Currently, it's not possible. But I believe this occurs quite rarely.
> shouldn't stalemate just be zugzwang that forces you to expose your king to capture
It's against the rules that you can't move your king into check. Also, stalemate is just a rule from standard 2-player chess, which I think is pretty good.
problems with check and checkmate rules
1. it is legal to expose opponent to check at hands of other opponent and capture king
2. it is legal to expose teammate to check
3. teammate can save from king capture especially when opponents working together and turn order
4. point system wrong in ffa
5. someone can save from check especially with turn order
6. your opponent cannot capture your king if they in check but you cannot expose your king to check with an opponent who is currently in check
7. shouldn't stalemate just be zuzwang that forces you to expose your king to capture
there are more reasons that i didn't list here due to space reasons