Hartnell and Pertwee also didn't enjoy interaction with humans nearly as much as Ten. Hartnell in particular saw humans with something approaching disdain, being a rather grumpy old fuck. Pertwee, while nowhere near as grumpy, still isolated himself from humanity. He felt little need to explain things unless necessary, let alone in terms people would understand. Indeed, Brigadier Lethbridge-Stewart often told Pertwee to translate his technobabble into plain English.
Question dodge. Empathy and sympathy are a part of Fe's definition. Fi is more internal, rooted in internally held values.
The very definition you cited debunks you. It mentions nothing about thinking on one's feet, but rather envisioning many possibilities and interpreting facts that are not readily apparent. Se-dominants can think on their feet for example, athletes do it all the time.
That is... precisely what I just said (Simm's Master is ENTJ, thus Fi-inferior in contrast to the heroic Fe Doctor), thanks for reinforcing my argument.