I kinda disagree with that statement. Without getting too deep and meaningful - An aquarium is for the most part a closed system, the only external factor that came in was 1 (hypothetically, it could have been more) original snail and whatever food you're inputting. For there to be more snails it stands to reason that they're eating and reproducing matter (energy) that was already present within the system. ahem.
I agree that having a population explosion and (and crash?) probably isn't good - but an equilibrium is fine.
Moreover, I don't think anyone's done controlled tests about the "bioload" of aquariums with/without snails. The whole thing seems pretty sketchy to me.
FWIW My own little 15L tank still has a load of snails in it, seemingly without "food" as there's been no fish and no fish food in there for some time now, and most of the plant matter has been removed. Surely this shows a bit more of a complex food web in action.