I think you can save the multiplayer game state (or single player). It's literally just pieces and such and you have to know the rules of whatever board game you are playing.
Honestly it depends on the game. Some of the paid DLC might have the logic, but a lot of the Steam Workshop mods are merely the pieces (though they may have the rules printed on boards in the game).
Because rules enforcement helps enormously in avoiding accidentally spoiled games.
"People will not assume that what they read on the internet is trustworthy or that it carries any particular assurance or accuracy" - Lord Leveson "Hyperbole is a cancer" - Lakov Sanite
Yeah, rule enforcement is 90% of the reason I play any board games electronic version. Almost zero reason for me if it doesn't have that.
"My great-grandfather did not travel across four thousand miles of the Atlantic Ocean to see this nation overrun by immigrants. He did it because he killed a man back in Ireland. That's the rumor." -Stephen Colbert