-The pitch line makes it sound like it assesses the 'quality' of the name rather than it's availability/similarity. I was expecting something that would 'rate' a name based on some kind of popularity or sentiment score.
-Im not really a fan of the name, which is a problem that stands out when your product is about good names. "Namegine" parses strangely, I think my brain's looking for another "n" to complete the word "engine" and keeps wanting to pronounce this word "Namm-Egg-Inn". Honestly, I think just NameEngine would be a better name. Obviously very subjective though.