mine also runs incredibly smooth, always has. I always wonder why some folks have such problems.

You do realize you can switch off the "watch AI moves" part, right?
You haven't played vanilla (or any mod without script) recently. The vanilla Ai turn is a matter of seconds (~1-5) while the eb ai turn is near 1 minute (~30 seconds to 1 minutes and if you catch the eleutheori on an bad turn it takes even longer).

Play a bit FATW (or just eb without the script) and you will notice that EB ai turns take a damn large amount of time compared to any other tw game.

After you have played it for a while you won't notice the long ai turns any more, but i can assure you that they are there.