That's partially true, but most of the grinds end up as a thick sludge on the bottom of the cup, which isn't intended to be drunk.
On the topic at hand-- I've got a Zassenhaus mill that I bought specifically for Turkish coffee prep, without noticing the last piece of the description "Not fine enough for Turkish coffee." D'oh! I've been using it at it's coarsest setting for some pretty incredible French press grinds, though.
I've got a Sozen on the way, I'll try to snap a photo or two to compare the grind results when it arrives.