What function would shy away from the anxiety that thinking about this sort of scenario would cause?
Anxiety is a physiological emotion, usually accompanied by activation of the sympathetic nervous system. (Hence the symptoms of sweaty palms, increased heart rate and blood pressure variations.) None of that has to do with Jungian functions. This was the point Jung was making when he a gave a lecture to 200 doctors, so they understood how his theory worked.
Does this also imply that feelers are not necessarily more "people" oriented or humanitarian, but rather more "evaluative" (if that's a word)? In other words, feeling-dominant persons could be more prone to make decisions after evaluating situations subjectively (regardless of whether it involves superior people skills) while thinking-dominated persons could be more prone to make decisions that make sense objectively regardless of the situation at hand.
That's the exact word I use when I describe the Feeling function - evaluative.
Can you imagine a world where we could not evaluate what something, or someone, is worth to us? As you already know, those who prefer Feeling are frequently called people-oriented, but that doesn't necessarily hold true in practice. There are quite a lot of people claiming to be Feeling types who have no problem admitting they dislike people, or that they prefer animals to people. And the preference for Feeling in no way equates to having people skills. So I would, indeed, rather refer to Feeling as evaluative in nature.
I could use an example such as a terrorist, who evaluates whether his beliefs warrant taking action to destroy human life in a particular city.
Does that sound like a "people-oriented" person to you? Probably not. But that terrorist can indeed be employing Feeling to make a decision. Frankly, a Feeling type could have ice running through their veins, so to speak. Warmth is not assured. It's about evaluating worth and taking into account what kind of impact a decision will have for oneself, and/or for others. Well, that could be a terrorist, or perhaps a school teacher who considers what is in the best interest of his, or her, students. It's all based on a value system. And depending upon how you look at it, that value system can be really ugly, or really beautiful.
Keep in mind we are all capable of making both types of decisions whether it's logic-based or value-based. If you want to use some of the really hardcore descriptions of Thinking types out there, some do describe them as leaving out a value system when making decisions. Having said that, I have never met a human being like that, nor would I want to. People use both logic
and values. We're not inflexible beings.
By the way, I see you recently joined. Welcome to the forum.