Are we sure that "φουτοῦτρις" isn't simply an ancient Greek word for "prostitute?" As in, the graffiti is just an inscription of her name and position within the brothel?
I'm imagining a fancy corner office with the nameplate on the door reading...
Mola
Lead Fucktress
...and a queue of horny, toga-clad men waiting to be called in by the secretary.
A quick google shows Romans had a few words for prostitute, including meretrix, so it seems likely. Wiktionary says mere means pure in Latin, so... Uhhh
FWIW, there is no indication that there is some etymological connection between futuo and fuck, because you could (mis)read the text like I did at first – although the translation is somewhat correct.
That implies that she was capable of multiple fucks simultaneously, and as anyone who's attempted such would tell you: that ain't happening. Only one fuck at a time, and all others are bonus; though the current fuck at any given moment could very well cycle throughout the options, it's a matter of focused attention.