Ants follow eachother in a line so they don't get lost on their way back to the nest. When they've lost track of the scent for any number of different reasons back to the nest they will follow the ant in front of them for guidance eventually turning into a "death spiral" seen in the picture. The ants are lost and will never find their way home and will march to their deaths.
This death spiral/"ant mill" is actually quite short, though still deadly - in the worst case scenarios, a death spiral can be literally kilometers long, some ants might not even make a single revolution around it, which is kinda terrifying to think about.
You probably could and that might redirect their focus for a bit, but I would think if they've lost the scent/trail back to their hill (which is the original cause for the death spiral in the first place), they're permanently fubar'd, since they'll never find their way back unless by accident. It might just delay the inevitable.
They won't stay out of my fucking kitchen so I hate them too. Seriously never had this bad of a problem until this house, I too would like to know how to weaponize circle pits in my kitchen.
If they could read the "no ants allowed" sign we'd be alright, they're free to live their lives, until they become home invaders, then I have to defend myself.
I mean, to be real, they were there first and are the most abundant terrestrial creature in the planet.
Joking aside, ants go where there are reasons to go; food, security, and refuge. You can use a natural insecticide, lemongrass, to repel them. Hotshot was a product I used in the past to spray around windows and doors. It's safe for pets and children after it has time to dry. Not sure what you've tried, but that has worked for me.
The only thing that actually worked for me so far was Terro traps, but in this house unlike my previous residences they just. Keep. Coming. There must be some kinda supercolony under this neighborhood or something. Maybe Antman's lair.
Personally input everything with sugar in it in a sealed container. Started doing that about 8 years ago and I've never had an issue with ants since (they were the reason I started doing that).
I believe they usually follow the trail of the ants walking infront of them so when they're walking in a circle they'll technically walk in a circle indefinitely.