Well, I can give an example of both a pro-Greek and an anti-Greek university:
Pro-Greek (my gf's alma mater):
It's small university, perhaps a couple thousand students altogether, but something on the order of half of the student population is Greek including the bulk of the student government and the university president (an SAE incidently
). Naturally, there aren't very many GLOs, but then a campus this small would never support more than a few to begin with. The chapters cooperate as much as one could expect given the inevitable rivalries and so forth, but the university and student government administrations actively support the Greek community.
Anti-Greek (my alma mater):
A considerably larger university than my girlfriend's with somewhere around 20,000 students, only about 5% at most of whom are Greek. The Greek community is also usually considerably under-represented in the student government. Consequently, all of the chapters get shafted like none other when it comes to financial support for programming. The university (especially the just-recently-retired president) have in some cases gone out of their way to block actions the Greek community were trying to take to improve and promote Greek life on campus, including innumerable attempts to create a "real" Greek row. Fewer than half of the 15-20 chapters have any kind of house to speak of, and all of those are in a really nasty area of downtown. A member of one of the sororities was actually murdered a couple summers ago going to one of the fraternity houses in this downtown area. You'd think the university would want to keep students safe, maybe even make a few bucks in the process in rent or property sales, but evidently not. I think I'll stop my rant here, but I think you get the point.
So to round out my answer to your question, I'd have to say that to be classified as a "pro-Greek" university, the following conditions (or at least most of them) would have to be met:
- University financial support
- Ideally a Greek row
- University support of Greek programming
- University support of Greek recruitment