Well it might do a little something but in the grand scheme of things, in my opinion, professional of sorts, is that there are far too many variables in the Electric Guitar chain to ever really care too much about any one element. Collectively, yes, different aspects have flavors to add, such as type of wood, age, mass...but then there's all sorts of other aspects - set up height, string quality / material, type of pickups, winding of said pickups, type of amplifier, what effects pedals might be in the chain...so I don't feel like going beyond skepticism is necessarily worth the effort.
By comparison, I had a guitar teacher who would play his G&L Strat 5 days a week for lessons, and you could just see how he was working the fretboard and neck into the sweetest playing, conditioned piece of gear. He always had a line of people waiting to buy his guitar whenever he felt like he wanted a change. I can understand wanting a guitar that "broken in" but by comparison getting something artificially relic'd or aged doesn't seem appealing.