And as the GM, that's how it's supposed to be - you, scrambling to keep up with the world and present to your players a reasonable facsimile of a vast and complex world, them seeing that vast and complex world and being willing to accept that though they may be Wild West facades, you're trying, so they're going to accept them at face value.
In regards to your (apparent) uncertainties, here's the thing - a 'professional', by which I'm assuming we mean a reasonably black-trenchcoat kind of guy, is going to do his best to appear as normal as metahumanly possible right up until the moment where he pulls the rug out from under you - and maybe not even then, if he can get away with stealing the rug without you realizing it. If everyone's underwear is tweeting about how happy their testicles are, then the pro's underwear is going to be in underwear chat rooms, talking with other pairs of men's underwear about his gonads. If everyone's shoes are saying 'Look at me, I'm a pair of Ked's SmashBros Superplex Court Dominators', the pro's shoes are going to be coughing and saying in a high-class British accent, "You do not deserve to look at me, for I am a pair of London Fog Executive Boardroom Elites." The pro is going to do his level best to make his gear mirror what everyone else's stuff is doing. He may fake certain things - burn out that ArmorTux tag and replace it with FashionElite's Snobbish Vest (which is unarmored) - but he's still going to make it appear that he's just an ordinary joe, even if he's an executive.
When he has to 'vanish', then he's got a couple of choices. He can click 'off' on all his tags simultaneously, or he can flip them to another setting (and thus do the electronic version of a quick-change). Either way, depending on how closely the observers are paying attention, he has a good chance of getting away with it ... or a good chance of getting zeroed in on. Either way, though, a pro is not going to walk around with the electronic version of 'nothing on', because nothing draws attention faster than a (figuratively) naked person.