Sid Vicious, Marilyn Manson, Alice Cooper and many other artists who were undebatably part of counterculture very often did stuff to intentionally offend members of mainstream culture.
Manson did a ton of stuff to piss off Christians and rightoids. While it might seem hilarious with modern day sensibilities, Rage saying fuck on BBC live did offend quite a lot of people. Hell, Sid Vicious and Siouxsie Sioux used to regularly wear literal Swastikas for the shock value.
Much of today's "counterculture" I suppose was more mainstream back in the 60s. Outsiders, delinquents, atavists and reprobates of many sorts are grouped together with, and generally accepted by the prevailing counterculture, but do not necessarily represent the counterculture's core beliefs and practices. They do, however, share a common antagonist.