A couple of thoughts occur to me.
Firstly, the public impression of skinheads - boots, braces, football. It was the aspect that the media picked up on, and the most easily-recognised image. I can imagine Joe and Joan Public walking past a queue of teenagers waiting to go into a club and thinking:
"What a smart bunch of youngsters in their suits and polished shoes. Nothing like those ghastly skinheads. Hmm... maybe they could do their ties up properly, though."