Poor GW. What hard existence they have. They should have to screen, then. It's of questionable ethics, IMO, to take so much money from so many people who have virtually zero shot at an interview.
The question, is whether it's in the best interest of either the student or the school for them to screen.
In the case of GW, I don't think it is, for the simple fact that they're looking for something as nebulous as fit, and they do ask for essays that they presumably read, to have a better idea of whether a student is a good fit. If they had a NYMC style secondary where they're basically saying please send us $100, and have no essays, then absolutely, I would say that they're just out to take money, but who knows, they might actually read those essays.
It seems that most of the students that GW interviews are ones that would be a good fit both interest and statwise and therefore would be willing to go there.
However, they will probably interview a smaller segment of top tier students that have either ties to the area, they're very interested in for whatever reason, or have family ties. Think of these as their "reach" students, who don't have a really high chance to get there, but they will have a small chance of landing at least a few of these.
Ultimately, I think it's in the best interests of both students and GW not to screen because neither party knows whether there will be interest and since a screen is numeric and fairly cursory, would they just knock out everyone that is below 3.3 and above 3.8 on GPA or everyone that MCAT + GPA x 10 isn't within 5 points of their averages? I just don't see how a screen could be easily done to look for fit.
An example of a school that absolutely should screen, though, IMO, is Wash U, where the average matriculant has 3.8/38. By not screening, they allow people with much lower numbers to apply when they have extremely low chance of acceptance just because that lowers the percentage of people accepted which makes them look better. Since they are SO stat focused they should at least screen out people below the national average for matriculants (3.6/31) since they are unlikely to be admitted w/o URM status.
Part of this, though, is on the student, who should research schools before they apply there to determine if they have a realistic chance of being accepted.