(In essence, I find it interesting that you chose to pull Buzz as your first-line example, despite the fact that Buzz failed for all kinds of other reasons against a competitor that seems to have no trouble with an "any name goes" policy.)
Twitter does not work like G+ does. G+ does however work exactly like Buzz does in this respect (for public posts).
I consider myself a fairly regular guy, and yes the naming (among other things, but the ridiculous names of people I'm not following, specifically) annoyed me to no end on Buzz. So yes, considering G+ is a Buzz clone when it comes to public posts and comments -- it will annoy me on G+, and I assume I'm not alone.
Buzz is the most perfect first-line example that exists.
Looking at my stream, by screen space the comments generally occupy about 1/3 as much real estate as the parent post. On posts I've never interacted with.
This is by design obviously -- and when the comments are good, its great. When the comments are bad, its bad. Time will tell whether G+ ends up with the type of community that can support this very in your face community intensive model.
Pseudonym vs actual name is correlated to that spectrum but not a direct relationship. People's stupid names is definitely something that makes interactions on reddit, AIM, video games, twitter, etc feel really immature to me compared to Facebook.
I am not comparing the trauma of tasteless names everywhere to being stalked -- but it would quite possible keep me from wanting to use the site. Along with a lot of other people. Which also has the effect of causing the person you are talking about not wanting to use it, either.
Any name you want was allowed for Buzz, and was certainly a turn off.