Especially visible ones.
As an employer, and one with the odd tat, I would still contemplate applicants with visible ink, on the face, head, neck & hands. Why is that? I shouldn't be one to judge surely, but I can't help it. I know very well it doesn't matter one jot to me really & I judge people on merit & not appearance, especially as most of my fiends are inked. But it's become very mainstream, especially in the past 10 years, mainly due to pop culture & TV.
And, as an aside, it seems a recession-proof business (thus far anyways). All the tattooist friends I have tell me they're all snowed under with work.