Not really.
BUT I do get to associate a person with their avatar. I'm fully aware that a person may be another gender than their icon, isn't the same person, etc. But it's convenient to know who it is, and before BB, it was standard that people stuck with one, or only rarely changed it (typically announcing it). The name was even more solid rather than mutable, unlike BB. (Obviously, I'm talking of my own experiences, and I've stayed off many popular social media sites.)
BB confuses me. It's to the point that when someone else took the same avatar I had at the time that I kept thinking I must've posted there but had no recollection of it. I eventually dropped the avatar and go with the generic T now.
I've thought of changing my online name to Moloch (or equivalent if it's taken, like Molok), and if I do, I'll probably take back the kitty avatar as it amuses me to combine them. But to even change my name would turn my T to a M, and that by itself is one of the reasons that makes me hesitate.
(As it is, I didn't think I'd get too active here, so I was lazy and just went with an email account, which is a combination of two childhood nickhames.)