This does not really make any difference if you use any other google services like gmail.
I want my real name to show up as my gmail "from" address. But I want to use a pseudonym on the G+ profile. This pseudonym is one given to me by my friends but It does not make sense to have it on gmail or anywhere other than G+.
In a way its a win for facebook. Since they are a different service and I don't use that account for any other services I can use whatever name over there.
I guess I can always create a separate account for G+ vs Gmail. But that's too much hassle.