Not really. The only thing the AI knows how to use on enemy gravitywells are superweapons, and I don't think you want to make wail a targeted ability. The other option is to have wail affect only the gravity well it is at (so a super red button).

Jumping Starbases isn't an ability, so there is absolutely nothing we can do to get the AI to use that one.

There may be a very simple reason for the AI not using Wail.

As there is no warning nor a graphical (easy to see at least) effect.... new players would scream and badmouthing the game for "all my ships just dissapeared bug".

You cant have that.

No, all you need to do is give it more starbase slots. It is actually a bit better now but before Rebellion it would never get those abilities because it would always prioritize combat upgrades. It will now occasionally get something else, but if you make starbases have more slots it becomes much more common.