No, they don't.
Most players sell contact, including most Warriors. LeBron maybe more than average, but
I wouldn't put him anywhere near the top of the list.
I get that as a Warriors fan you don't see how obnoxious and entitled they came off in that PC, but I really do think that's where everything flipped. Obviously it was building because people always hate dominant teams, but that sped things up considerably and is the reason everyone was so delighted when they got their comeuppance. It was like a movie script.
I wouldn't worry about it though. I doubt you'll care too much about a year old press conference when you're at the parade in June