Turns out that it works! When I went to work today, there were a handful of ants, trying to make their way through my mint maze, but now, there are none! None!
I don't know if it was my traps or the mint and salt concoction (literally a handful of freshly picked mint leaves, a handful of salt, ground together into a paste) spread over my entire countertop and cupboards.
Yes, it's a mess to clean up, but it may be worth it for a simple, easy, nontoxic ant deterrent! I'm kind of tempted to keep it up for one more day so that it's there for good measure.
And I'm too lazy to clean it up tonight.