Getting Cut From Rush

So I actually don't go here (Congrats on finding your homes/pledges!!) I've just been keeping up with the page for fun since my school's rush is basically a COB process over zoom (I go to a smaller school) and it's been interesting to read the posts. But I noticed that everyone says that for Alabama you need to REALLY prep for rush with good recs, making connections with actives, good grades, etc. And I also noticed how the "top houses" are only considered top if they're well rounded and it's not just based on looks.

So I was wondering if there's a really suitable PNM, meaning she had the grades, recs, connections, all of that but she was overweight or not considered attractive, could she still have a good rush experience and end up in a "top house" or will houses still cut her based off her looks? I was just wondering how that would play out at basically the #1 Greek Life system in the country since at my small lil school, the top houses mostly aim for looks before anything else!