I really don't relate to much of this at all.
I suppose I could come off cold because I can turn my empath on and off pretty effectively, I do a good job staying objective when other people express strong emotions. And I DEFINITELY talk with my hands a lot.
Sometimes I feel like my emotional responses to things don't make a lot of sense, which drives me CRAZY. I have a pretty formed and categorized idea for how I should feel in certain situations and when my emotions don't match it majorly throws me off. I tend to stay cool in actual stressful situations/potential crises. I'm good at thinking on my feet. But minor personal dilemmas destroy me. It's almost easier for me to make decisions when the outcome impacts others heavily because there seems to be a set right/wrong answer.
This provides a nice contrast with what I'll call my Fi experience. Besides social pressure, which I am not totally immune to, I don't really feel like I should feel a certain way. I mean, I may be aware of if, but I don't see the fault in how I feel, which simply IS, like the sky being blue. Rather, the emotional experience tells me what things mean, and then I can decide what to do with that meaning, generally by seeing how it relates to other things (giving it proportion, etc). When there is a gap with this and how one "should" feel socially, then I tend to resent the social standard. I will see it as being in denial of the human experience - "out of touch" so to speak. Most of my inner conflict is when I cannot reconcile my own emotional experience with my own previously determined ideals, values, etc - things I consider truths about the human experience.
As an introvert, I am less likely to question the reality of the inner experience though (even as there may be conflict in its parts), so that it has even greater validity than the shared external experience, which looks like play-acting to me. But neither is the whole reality....
This is an extremely common attitude people will note in Fi types, although unfortunately it gets dismissed as childish. What's really going on is that the inner world is the context being used to define and give proportion to the emotional experience, and this resistance to outside influence also means a purity is maintained, so that the truth of the human experience is not lost to social protocol.