Interesting thread.
I've gotten tattoos from three different artists so far and all were cool, professional folks. Probably the best of the three was not very talkative the first time in but the second time, we had a good yack about kids and stuff.
As others have said, I don't go in expecting to make a new best friend but I would be put off by an arrogant/obnoxious attitude. I'm a programmer and we geeks are stereotypically not very social. But while I don't yack a lot at work and don't see it as part of the job description, I would never treat a client unprofessionally or rudely. Word gets around.