Public name can be an issue for those with, or needing, security clearances. Agencies go to the internet and put a name in. What they do with the result might depend on how much time they have to hash thru the results.
My name is common enough that lots of other people come up on Google search. Some of them are in my town but aren't me. I don't know what they've been up to (except for the one that was killed while crossing the road to get his snail mail).
It's a bit like the credit report where someone gets a bad mark and suddenly can't get a job but doesn't know why and might spend years straightening it out.
I'm not on Facebook or any of that stuff and see no reason to join in the fray.
I see no real benefit to using a real name and many reasons not to. Verifying that the poster is using a real name and not an alias might take some effort.
Color me - opposed.