Censorship has always been more of a conservative thing. But really more of an authoritarian thing, once you manage to get your head out of one-dimensional political thinking.
But if you want left-right, "helping the poor and disenfranchised" is left, "helping the rich and powerful" is right, and while details have moved around, that core never changed. I don't see conservatives anywhere do much for the poor, and they still love disenfranchising people. It's more that formerly left-wing parties, including Labour, have moved to the right since the neoliberalism of the 1990s.
But if you want left-right, "helping the poor and disenfranchised" is left, "helping the rich and powerful" is right, and while details have moved around, that core never changed. I don't see conservatives anywhere do much for the poor, and they still love disenfranchising people. It's more that formerly left-wing parties, including Labour, have moved to the right since the neoliberalism of the 1990s.