I think it depends on the person. I’ve heard some Rabbonim say that if you can, you should only have CY. If you follow one of those Rabbonim, then yes, there is a benefit to only having CY – not because of the CY itself, but because you are following your Rav.
For the benefit of CY in and of itself, I think we need to define what a “Baal Nefesh” is.