So I was never interested in Greek organizations, but I have had a lot of friends, relatives, now a kid, and so on who were involved. Without claiming any of this is universalizable, that description doesn’t seem quite right to me for a lot of them.
For the people I know, it is true the biggest question was usually some form of would I want to spend time having fun with these people. And that is a social question, but is it really a social “exclusion” question? I think for many it was more positive (I like these people and having fun with them) than negative (I am glad people I don’t like having fun with aren’t allowed here). Of course some of this could depend on the greater context, like it sure seemed to me like some organizations were much more into “closed” events than others.
And then outside of purely social stuff, I do think some of them took the service aspects pretty seriously. To be blunt, more often the sorority sisters than the fraternity brothers, but I feel like for some of them, that really was a type of motivating “topical interest”.
Then sort of more on the fraternity side, they did sometimes see this as a sort of business club. Obviously there are formal business fraternities, but even some of the supposedly “social” fraternities seemed to have a reputation for being good in terms of supporting certain career aspirations.
And then sometimes there were aspects of what are sometimes called “identity organizations”. My understanding is the growth of alternative forms of identify organizations has undermined this somewhat, but for example, back in college I knew some women of color who joined a certain sorority because that sorority was seen as an opportunity for some mutual support among such women in what was otherwise a PWI.
And so on.
OK, so I can’t stress enough that I don’t think this means there isn’t a problem here, but I do think it is questionable to view these organizations as entirely different in kind from other college organizations. They all tend to spill over from whatever their nominal purpose might be into other purposes, and I don’t think the “social” Greek organizations always stay purely “social”, they do in fact have service aspects, career aspects, sometimes identity aspects, actually sometimes academic aspects, and so on. Just as organizations nominally with a different primary purpose in practice spill over into the “social” side.