I just replaced my brake light switch @ 195k miles. Solved the problem. Was causing just the type of thing you mention. Co-workers would tell me my brake lights were on, but didn't see it myself to confirm for a couple months. Finally when probing the switch wires to see if it was the problem, the switch failed to the point it wouldn't even light the tail lights.
The switch retaining clip can be a bit of a pain to get off. Get enough light up in there to see what you're doing & understand how the clip works. It wasn't easy & got a few scrapes, but from reports I'd read, I was sorta expecting worse. Once I understood how the clip worked & got enough light to see what I was doing, I worked it off with a long, narrow screwdriver.
O'Reilly Autoparts didn't stock the little kit of retaining clips they offer, but they ordered it & came in a couple days. I didn't wind up bending mine up removing it, but I've read several times it's a good idea to have a replacement on-hand before you start the switch R&R so getting a replacement clip doesn't keep you from quickly finishing the job.