Obviously depends on the type of job.
For instance if I were an employer I'd never employ somebody in a white collar capacity if they had visible tattoos and were expected to be client-facing. But, if it was on a building site or in a factory, then I couldn't give a monkey's how many or where the tattoos were, just so long as they weren't offensive - such as a swastika.
The whole tattoo thing has always puzzled me, especially on women. A rose or a dolphin at the base of the spine may look good (although that's a matter of opinion) on a 20 year old with nice taut skin, but will look bloody ridiculous on a 50 year old and will have slipped down to the backside.
And as for tittoos - why somebody would want to deface and ruin something as wonderful as a pair of Tapas with a tattoo will puzzle me for as long as I live.
Personally, I can't stand tattoos.
And you're right - the chances of somebody with a spider's web or a swastika on the face is unlikely to ever get any work, which means we'll be paying for his stupidity.