Well....we all know about assumptions.
They often don't work out well.
You do realize to that bcrosier mentions in his post going to a STATE school vice your "aviation university program [you seem to be favoring ERAU]" and taking the aviation class (he specifically says the ground courses over the flying courses). So an example of his route would be a UND type of program, majoring in something other than aviation and taking those aviation related classes as a minor, and getting the flight training through a mom-n-pop school (if I understood his post correctly). Not only will the two applicants in your scenario come out with the same ratings, but one will generally be in MUCH less debt (a factor in your QOL), but according to many experience hands on this forum, that recruiter does not care where you got your training from unless the school's name was 'Uncle Sam'.

Do you think that ERAU is the only P141 training program?

Personally - I liked the structured approach much better and it certainly fit my learning style, but big 'aviation universities' are not your only route as bcrosier noted.

USMCFLYR