You put in your info once, you don't get to give feedback and request changes, you get one logo at the end--like it or not, and you get it in 24 hours.
These points all make it different from most logo services. Better is another question.
I didn't find the difference difficult to glean from the site, but it wasn't obvious to at least a couple people here, so maybe OP still has some work to do here as far as positioning.
I believe you summarize perfectly the main differences.
I may add that as you correctly point out we don't wanna be better than the others or steal their customers, we're just different - since there's no service which does exactly what we do (good or bad, your pick).
We ideally offer a conceptually different service, covering needs (as said in some other comment around) of a category of people who are craving for results and don't wanna bother with revisions and complicated workflows.