Anyway, like the OP, I found it immensely helpful to use the quadra values in order to pinpoint my sociotype as I first looked into LII and ILI (because I score as an INTP in MBTI) but as I researched further, I realized I'm not an alpha or a gamma. Funnily enough, on immediate reading, I did not even see myself as a delta and it was the quadra I thought was the furthest away from me and I identified the most with alpha and beta. How ironic, especially the beta part.
It became obvious over time that I'm as delta as they come and I'm most definitely an EII-Ne subtype. I personally have the greatest difficulty getting along with beta types in general which makes sense because beta is the quadra the most functionally opposed my quadra (delta). Some IEIs are all right, especially if Ni subtype, but overall I find that the way we view communication and interaction is too different. They promote this exurbant atmosphere with laughter and jokes which just annoys me to no end and I guess me sitting in my corner and apparing gloomy to them is equally annoying. And let's not even get started when they decide that I need to cheer up and be included in all the fun... JUST NO. I decide on my own when I'm included or not, thank you!
I really don't get along with LSIs and SLEs at all due to the Se and Ti. It's like talking to an alien from another planet. We don't speak the same language at all. With beta NFs I can work with them as long as we share a common goal or interest.
I should add that the laughter and fun aspect of alphas really annoy me as well. I for example think my cousin's father is an ILE and his need to always be funny and tell jokes and laugh loudly at social gatherings really irks me at some point. There is only so much time for laughter. I'd rather discuss what happens at the end of the universe than how funny it was that Pete did [insert random joke] thing.
So if I have to rate the quadras whose company I enjoy it's delta > gamma > alpha > beta. Gammas can be great although ESIs can annoy me, same with SEEs (Se PoLR). I know quite a few ILIs and some LIEs I get along with great even though we don't always agree due to differences in perception. I have yet to meet more people out of my own quadra. I know some IEEs and a person I suspect is an LSE but maybe it's just me, but where the fuck are all deltas?!