The understanding that I'm getting up to this point about Socionics is that it is first and foremost a theory concerning informational processing, meaning that at its lowest level it does not predict the attraction between people... At least this would make sense to me, considering that this type of theory is based on initial observations and testimonials of people's "ways," which then led to finding some sort of relationship in-between (someone can correct me if I'm wrong). That being said, I believe that the quadras are made up of people with similarities and mutual understanding in their ways of handling information cognitively, and consequently
there is good probability for these people to "like" each other, in that they enjoy each other's presence/company and can find mental relief. Another possibility is that while they can understand each other's ways, they don't enjoy each other based on other factors outside of Socionics.
I believe that many articles and people, while being well-intentioned, try to push the inherent limits of Socionics to become a theory that can explain and predict emotional response between people, and even someone's perfect partner (aka duality), which is bound to encounter serious problems eventually in trying to making the theory hold up. I believe that this type of understanding makes people who are Fi egos susceptible to an inappropriate application of Socionics, considering how they (we) make sense of things by how it makes us feel, essentially categorizing and isolating the feelings incited by things rather than through sensory perception (if this makes sense). Essentially what I mean is that the things that will be standing out in this type of Socionics is what the other types should make us feel
rather than really understanding the way they function cognitively... It's for this reason that Fi egos require
an explanation of a theory that is void of emotionality and subjectivity, regardless of how unenjoyable it might be, in order to actually understand what's going on, and then based on the unadulterated facts
(definitely not subjective conclusions) we may intuitively find an understanding. Socionics articles written in this manner are hard to come by.
I know that I'm not specifically addressing what you're talking about jewels, but I just felt it was appropriate for me to say the above. To answer your question, I would say that it's possible for people in the same quadra to dislike each other, because it is a matter outside of what Socionics can truly handle.