Does Hebdige believe the subculture participants' view of its subculture is the only determining factor in how it is viewed by the outside?

No, Hebdige does not believe the subculture participants' own perception of their subculture is the only factor in determining how the public views them. The media plays an important part in relaying what is believed to be the style and values of the subculture. The media's view may sometimes be accurate, but many times it is a skewed view.