I can confirm that use of culture bombs is one area the AI excels...
I think it's an idiot in most other realms (except diplomacy, where it's too sociopathic to tell), but it's like an idiot savant with culture bombs.... I've actually had 3 different variations of this -
The first was very much like the above shot, except worse -- a citadel on a hill perfectly positioned to guard a 3 tile wide pass into my empire. I see the AI plop what looks like a worthless city at the other end of the pass -- then two turns later, culture bomb themselves into possession of my citadel.
The second was a fairly similar situation, but in this case -- there was just a slim one tile wide pass that I used to move gifted troops to allied city states, as well as other units into the other side of the continent. The AI culture bombed the slim neutral territory pass out of existence.
Finally - the AI had all dyes except one, which belonged to a city state (which I allied with). After multiple repeated attempts to conquer it (foiled by my neutral troops getting in his troops' way), he finally made peace... settled a city nearby... and culture bombed the dye resource into his territory, giving him a monopoly.
Perhaps that's the answer... just give Great Artists attack and defend values -- because the AI definitely seems to know precisely how to use!