Yeah, I go further than that - I actively cover up the brand logos.

I just bought a pair of Sketchers sneakers recently that were very comfortable and exactly what I wanted except... I don't want to do advertising for them!

So I mixed up some acrylic paint to the right color, and painted over the Sketchers logo. It's still a little bit visitble, but you have to look very carefully. I like it better this way.

I read in a novel years ago, about a character who relentlessly removed any logo from her clothing, including filing down the little Levi rivets. I don't go that far, but the idea appeals to me...