That's cool to hear that from Brian Setzer. I definitely agree about it being in his hands, because Stevie played several different guitars and it always sounded like him.
https://www.youtube.com/watch?v=IYSoJmSMctU
I have many guitars and amps, and I pretty much manage to sound the same on all of them. The color might be slightly different. There might be some different effects and eq settings, but I still do the same things. The action of the strings and the response I get out of the guitar might change my approach to certain notes, but it's still me.