Blind bought both. Not a fan of either. Got rid of them both. If I had to pick one, I would go with CH Men. My wife asked me never to wear CH Men Prive again the one time I wore it. She said "you smell like a powdery old Victorian woman".
To me it has that very common cheap faux-leather designer scent. Tonka overload which seems to have become pretty common.
So, in summary, if I had to wear either of them again, it would be CH Men. But I'd rather not.
I bought CH Men Prive when it was released back in 2015, so I got the original and not watered down juice.
Performance was quite good but I disliked that prussic acid like smell so I sold it 2 years later.
I think the original CH Men is a much better fragrance, though it's quite synthetic smelling, but in a pleasant way.
If you want to buy a good flanker, then get CH Men Grand Tour. I think that one was the best of all the flankers.