No. CP was horrible in BGs when they first launched. CP is disgustingly overtuned and just leads to even more stalemates than we already have in BGs. It would feel utterly terrible in a 4v4 setting.
Don't care either way. I think best case scenario would be to rotate it between CP and no CP. Ideally you'd have two separate ques but I don't think the player base is big enough because I'd want them to keep 4v4v4 just for the people that still enjoy that more.