I don’t think so. The Anticafé in Paris has the exact same concept with roughly the same pricing (€14/day), and has been open for more than 8 months now. AFAIK they don’t have such problem and the place is crowded by students and 20-something with MacBooks everywhere. They don’t offer sandwichs so it’s hard to have a "real" lunch here, you’d better go buy a €4 sandwich elsewhere and come back eat it there. As students, we don’t really come there for the free food, but because you can stay all the day working without being disturbed by a waiter asking you to leave.
Is the cafe very loud? Are people generally respectful of each other? These are the only real concerns I'd have with using such a cafe as a working space.