A while back I ran into somebody with the name "Loli Gagger". I usually don't give a shit about silly names, but finding this one deeply inappropriate, I sent in a report. A GM contacted me within 30 minutes to thank me for bringing the name to their attention, and informed me that the name would be changed. He said they would talk with the owner, and would change the name to something appropriate that they requested. If the account owner didn't respond or didn't want the name changed, they would forcefully change it for him.

So yeah, I think it would work, however the name in question would probably need to be a name that warrants a change in the first place. I assume SE only cares if they know other people care, at which point they take action against it. I seriously doubt a "normal" name that isn't insulting or inappropriate at all would get a response out of SE though, even if it was reported several times.