Last time I tried, I can't have an account under the only name I really care about ("seebs"). In theory they allow nyms, but in practice, I've never heard of anyone being able to get them to do this unless they're famous. Heck, I haven't even heard of anyone being able to get a non-form-letter response, or an opportunity to so much as write a single sentence in defense of their desire to be allowed to use a particular name.
So I do have a G+ account with a name they accept. It's not my name, but they've said at least once that it doesn't have to be your name, just a reasonably people-looking name. The real problem is, some people are uncomfortable if they see "fake names", by which they mean "names that don't follow a fairly conventional first/last name style and sound reasonably normal". So they aren't trying to solve the anonymity problem, they're trying to solve the problem of a few people getting uncomfortable when they see "handles" instead of "names". But not the problem of people getting uncomfortable when they're told they can't use the name they've been using for everything they do for the last couple of decades. Or the problem of people getting uncomfortable when their stalker has an easier time finding them.
Google wandered away from "don't be evil" a long time ago.