I prefer anonymity. Google knows too much about me already, I'd prefer they stop trying to make every fact about me known by the servers that serve me pages. I don't want every link on the internet an opportunity for the authorities to stop that click event.
I don't understand how anonymity would work with a social network.
And yet, I interact "socially" with them just fine, and I think of them as John Smith and Sp00n B4nder. It causes me zero problems.
Names in this context are just labels, and I don't care what the labels say, I just care what they point to.