head/heart/gut: In the realm of theories. I would say that Heart types are in my own diagram, are what I would say to be the the triad that gives a certain edge to give meaning to things, and to "excel" in a way that even the type 1 seems to lack. If that makes since? In the realm of relationships, I have no real preference. Gut types can be eerily controlling, and can subtly undermine your position or not with their sheer power. Head types ask a lot of questions, and are typically too hyper active, even if they are also the most inactive in the room. Heart types are too preoccupied with the worth of things, and so they can get caught up with achieving points than actually doing anything important.
hornevian style: Compliant types? I value the fact that they are shameful in a way about things that are wrong, and I'm more sympathetic to those that wish to be "good"? Though that hardly is what the compliant type is all about, so it's a weak preference at best. Id types tend to capture themselves into too much trouble, and enjoy bragging to me about things I don't care about. Some of them are lovable though, and give out a good, vibrant and unique energy that the others don't produce. Even if they are jerks, I still can't hate them. I just look at their good sides. I have no idea about withdrawn types? I guess they are pretty alright, their patience is good and reflection is always necessary. Even if you aren't really reflecting...
harmonic style: I think the testiness of the reactive types is cute, as I have something to work with there and they are typically the most honest. In a way. Competency types leave me cold, and so does the positive types, though feminine positivity types are attractive.
instinctual subtypes: Self preservational types erupt a massive wall around them, and only let others in their psychological nests that I find to be rather uncomfortable in that I have to prove myself worthy in a way that I just don't like to deal with. It's more a less a type that is focused on repairing themselves and others. So they can be quite whiny. A side most don't seem to think about when they think of the Self preservational first type. Sexual types get absorbed in the "other" if their instincts make it so, and will typically not really leave that person alone if they can make it so. I feel too invisible to be worth of it, and so I unfortunately feel awkward for not really melding with them because at some point I will just think I'm just going to disappoint them. Social types general seem to go by life as if they have some sort of "checklist" to get through. Get through this and that, and go through the motion of things. Some like to shake it up, but even amongst them there is a form of compulsion there.
I guess certain combinations work. Sexual Id/Withdrawn types can be utterly intoxicating. They demand their attention. I think one social/self preservational Id type was irritating though.
I don't have enough life experience to form a real preference though, I'm mostly listing out impressions based on others behavior, and my own.