I can understand how one can think that 'F' in typology is mis-labeled.
Yet, we should note that Jung used the word Feeling in a non-vernacular fashion. He wasnt talking about literally experiencing feelings, but actually something that is more along the lines of 'thinking about feeling'. Or reflecting on one's feelings concerning the scenario and then making decisions based on that.
Hence this is actually thinking about the personal aspects of our knowledge, as opposed to the impersonal as we get with (T). Hence both feelers and thinkers 'Think', in a vernacular sense of the word and this is why they are called the judging functions. Once again, the only difference is that one thinks about personal entities, and the other about impersonal.