I've always been into skating whatever shoe I'm feeling at the time, not a conscious decision against skate companies by any means.
I used to skate a lot of cheap generic plimsolls & slip-on's because I would wear them basically 24/7, would end up skating at some point & get psyched on them.
There were a couple years of bargain basement Puma Suedes/Baskets & clearance Adidas Campus but I always ended up back skating actual "skate" shoes.
I've seen people fucking rip in a variety of footwear though; Leather slippers, Tim's, Sperry boat loafers, & even moccasins.