It's not like those with ink will not get jobs. But I imagine it will have same effect.
When I hire people, beyond subject matter competence (which is assumed...you don't get an interview without it), I look for smarts, drive, integrity. Judgment is part of that. Someone who inks broadly may not strike me as someone who has early come to have good judgment.
Now, if I have good judgment, that doesn't stop me giving rightful consideration to a splendid candidate. But it could be the difference maker if there are numerous excellent candidates.
The mark leaves a mark, like it or not.