Ahhhh
I was diving too much into the specs and graphs without looking at the schematic. Good to know I'm pulling enough current through the regulator to meet the minimum. If it's approximately 1mA per channel, at four channels, that's 4mA, and the minimum on the regulator is 1mA.
Also makes sense about using the 'output voltage' ambiguously. Well, doesn't exactly make sense, but more of a logical explanation.