Sadly, the minorities (in the Anglosphere at least) don't deliver at either "think" or "independently". Their counterculture is as countercultural as joining a church. Just another way to fit in. Be be slightly different and they'll chastise you - a high-profile example of this mechanism has just happened again https://archive.is/qeDfU. Unless that's what it's always been.

Hooligan-like countercultures are also excluded as far as "think" or "independently" goes for an obvious reason.

Thus, the only independent thinkers I've encountered are individuals who don't aim to have all the answers, who can accept disagreements, who attempt to know themselves - but those are individuals, not countercultures.

I'm erring on saying that countercultures were never about independent thinking. They were about fitting in with different people.