"wouldn't lumen per sq ft be a better rule of thumb?"
Nope, because lumens is a measurement of green light, which humans are most sensitive to. Lumens combined with known color temperature/spectral output of the bulb would give you more of an idea of what you're after, but still not quite there.
As long as it is a gas bulb (fluorescent, HID, plasma) even with crummy T12 fluorescents, approximately 50w/sqft works very well for yield.
Potency is not necessarily strain limited, the other limiting factors in potency are UVB exposure and nutrients.