Yes, variants have more rules which could make them more complicated. Another reason is probably the fact that there are waaaay more people playing normal chess than variants. It doesn't make sense to devote resources to programming tough variant AI's when there aren't nearly as many people playing variants. 4pc bots would probably be even more complex because the goal isn't just to win, but to get points.
Why don't Chess.com make an AI for less popular variants????
What do you think???