I personally think dominions has a pretty tough AI as far as games go.  Until you learn all the AI-stomping tricks, you can expect to be beaten... repeatedly.  I can think of plenty of games, RTS or TBS with much easier AIs to defeat.  Of course when you know how to play, the AI is completely useless.
I still play SP, and have played SP almost every day since before I signed up for the forums 

.  I've probably logged similar hours playing dominions as many people do playing MMORPGs.  And I've played in a number of MP games as well.  So I think a person can easily get their money's worth just playing dominions SP, though from what I've seen most people who try mp have a lot of trouble going back to SP.
I'm someone who doesn't usually like to play strategy games multiplayer, but I still find myself enjoying dominions in multiplayer.  I would sggest that even the most hardcore sp person try it at least once.  It's a completely different game.