Wonder finished -> which one will the AI switch to?

[Tatran]

Situation : 4 wonders are under construction/or available to build.
(Beginning medieval age,wonders : Sun Tzu,Sistine,Leo and Bach)

I was building Sun Tzu and a palace pre build.The palace pre build had already enough shields to finish one.My wonder priority was Bach,Sistine,
Sun Tzu and then Leo.I was a religious civ with the cheap cathedrals and
already having most cities with barracks and alone on my continent,Sistine
would benefit me more than Sun Tzu.

Now the problem.The AIs were also very busy building these wonders.
And one of them,the Germans,would finish the Sistine Chapel before I could
finish "Sun Tzu".(I did some espionage.)So I set the palace pre build to
Sistine and Sun Tzu to Leo to see which one the Germans would choose
after the Sistine Chapel was finished by me.I guess what,they switched to
Leo and finished it.Coincidence or not?Does the AI,when switching,
go after the wonder(s) which the human player is also after?

 

[alamo]

I suspect the AI choices are pre-determined by civ and wonder attributes (industrial, militaristic, etc.).

Germans are sci/mil, so they would rather have Leos anyway, they just started Sistene because they got that tech first.