I never did like wearing glasses on the bike. Same sort of deal as you – I felt like I was detached and floating off the ground.
But, riding in open, sunny places I had to have something to deal with the brightness. I have found Endura glasses are distortion-free and way cheaper than Oakleys. I still prefer to ride with naked eyeballs, but at least the Endura glasses don’t mess with my vision.
As to whether or not you need to protect your eyes day-to-day, I know quite a few people who have hurt their eyes and would never ride without some sort of lenses. In 10 years of riding, I’ve never hurt my eyes, so I just keep riding without them unless it’s blindingly sunny.