"Received" as adjective in context

Received here is an echo of the phrase "received wisdom", i.e. conventional wisdom, the kind handed you from traditional sources and not the kind that you discover by your own experience. Rolling Stone claims that the punk group was a

genuine revolutionary force in their pursuit of working-class justice.

which is to say that their music is supposed to be informed by the politics of the left. I haven't tracked down the biographies of all of the group's original members, but one, Hugo Burnham, was studying English literature at the University of Leeds when he helped found the band. This is not exactly the working-class background celebrated in the band's songs. So the reviewer preemptively counters the expected criticism that the band's leftist politics was "received", i.e., learned from conventional sources rather than lived.