It's not that conservative opinions are censored. It's that bad opinion with zero merit to any reasonable person, such as insults, racism, sexual harassment, etc, are censored.
Unfortunately that means that most conservative opinions are censored.
Or, at least, the ones that matter said by our most popular politicians.
Rephrased, think of it this way: if I talk like Barack Obama at work, I'm fine. If I talk like President Donald Trump, I'm getting sent to HR on my first day. And that has nothing to do with their political leanings.
It's true: if you're a smooth talking stuffed shirt used car salesman like Obama, tell everyone what they want to hear, no matter how bad your ideas are or how much you fail, you'll still be praised in the modern corporate culture.
But if like DJT, you "call 'em like you see 'em", tell people how fake they are to their faces, talk straight like a ballsy New Yorker, then you better own the whole damned building, because no matter how much you succeed, everything you say and do will be the wrong thing.
As though HR are suddenly The Arbiters of Truth and that declining birth rates and increasing isolation are helped by people at working fearing being sent to HR if they make a mistake or say something non-approved.
I mean, yeah, those stats are being helped by HR, but not in the direction any sane person would favour.