Start game: 2 people go to top of AI stairs, 2 people to bottom of AI stairs. 1 person picks up the other 3 spires.
Remainder of game (5 minutes or so): Farm bots as they come down the stairs.
Coding bots for Dominion would take quite a while. On the up side, it would make bots on SR considerably better if the code carries over (ie - not hardcoded). On SR, bots can basically have 2 standard modes: Push, and Retreat. There is one provisional mode for when a champion is in range: Attack.
In Dominion, you have to have 1 standard mode: Claim, but also have a provisional mode of: Defend. Over the top of all that needs to be a high level command structure for Survive. If every time you are hurt in Dominion you ran back to base, you would lose FAST. You have to juke, catch healing spots, and sometimes just stay out there even though you have 5 hp remaining so that you can cap a point before you run away.
Lots of "Oops, do this now" moments, mixed with many "Ignore that, keep doing what you were on" moments. Many of which don't have clear answers either. That makes for messy AI.