I've been pondering this lately. When I look at Beta quadra I sometimes feel like I was adopted and have alluded to the fact that being a type One (with its emphasis on values and scruples) can look like Fi. I suppose this could mean I'm mistyped, but I kind of don't think so. (My understanding of Fe and Fi could also need work, but that's beside the point....)
Anyway, are you a pretty classic exemplar of your quadra? Maybe you don't really relate to--or have rejected--a lot of their values by conscious choice, maybe you were raised to value something else, or maybe you're something of a mishmash? I'll try to post more later about my own experience.