I'm fine with the current naming convention, and I say that as someone who lost a couple of names on Homecoming that I had since launch in CoH on Virtue. Just like the game was originally, it forces us to be more creative. Even in the comics, there's only one "Captain Marvel" in Marvel comics at a time, but then there was also Miss Marvel, Mar-Vell, etc. in existence. I think it breaks the uniqueness of characters and part of the superhero genre a bit to have several characters running around with the exact same name in the same universe.
Take some time and come up with something unique for your character, they deserve it. Creating new characters through the original life of CoH forced me to do that, and I was able to get about 90% of my character names on Homecoming because they were unique enough from previously. The couple I lost were based on more common words/names anyway, so I adapted for them.