My perspective may be different since a lot of my professional experience is at conservative institutions (Air Force Academy, private schools, defense contracting). Most of these more conservative institutions have policies that require tatoos to be covered.
Even when I worked for a more progressive company (Cisco Systems), I don't recall a single person in R&D having any visible tatoos or body piercings. But I worked for a branch in the mid-west. The California experience at Cisco might be much different.
My general philosophy is that one does the best in free market systems by keeping the doors open to as many income opportunities as possible in terms of manner and appearance. Even though I'm not a drug user, my long hair was being interpreted by some potential business partners in the southern US as a "dope smoking hippy type." During the "Duck Dynasty" era in Louisiana, I was given a pass on the long hair and it did not seem to hinder anything I wanted to do. But about the time Duck Dynasty ended, I started branching out more (consulting business) into TX, GA, NC, SC, and AL. This started to bring some negative comments on the long hair. I cut it.