Is there anyone that just will not go to private campgrounds

THere is not a one size fits answer. I* take the best CG available in the area I plan to be in. I am not committed exclusively to public or private.
I am able to enjoy them both.
The OP needs to expand on their camping destinations.
All private CG's are not sardine cans and all public campgrounds do not have boundless sites.
There are both good and bad public and private CG's of all shapes and sizes ther challenge is finding the ones that meet your needs. Keep in mind needs change and everyone's needs are not the same.