I'm not entirely sure about that. Both ways take a lot of practise to get skilled. I used to be a pc gamer when I was younger but I can't aim for sh*ts now and on the other side I have seen some "pc friends" who can't even walk in a straight line when I hand them my controller.
I swear they did a research about this a while back but I can't seem to find it anymore online. It was interesting how they took a look at accuracy of both platforms. If I find the article I'll do a repost.
I think it should be allowed but have the option to choose whether you want to play against PC players or not and vice versa, if PC players rather not play against console players, they should have to. It should be players choice in my opinion.