Why yes, there IS an advantage! At least, there is for talking yourself out of combat. If the Fallout series has taught me anything, it's that such things are directly linked to one's Charisma, which, if high enough, should enable one to talk their way out of anything.
One would think such attributes would only affect one's ability to persuade certain people, but given that attractive nightwear can increase one's ability to convince a robot to self destruct in spite of a complete and total lack of attraction towards humans in general, I believe it goes without saying that they universally improve one's ability to convince anyone to do anything.
That, or maybe it's just a confidence thing. I mean, you've gotta be pretty confident to run around in nothing but revealing jammies in the middle of a post-apocalyptic nightmare.