Well, Zirix already runs Falcius, and there aren’t exactly many “Sajj cards”, there is the OTK kit (which you shouldn’t run this artifact with), and the Control Sajj Kit, that includes Ankh, Spinecleaver as a potential wincon, and rarely Zephyr.
In a potential Dervish Sajj deck you could run Prisms instead of (or with) Ankhs and run 2 Cleavers. That isn’t many slots, and you could take out some minion buffs or draw (as this is going to be slower than a Zirix deck). You also won’t need as much healing or provokes as the usual Sajj, because you can use dervishes to trade by proxy without taking damage.
So yeah, I don’t think the decks that ran Prism would have the problem you described.