also, i think, even more importantly, that you're ignoring the part of what i said about Fi. if i'm ESI, i don't understand how my central focus would be on personal relationships. i've gotten criticisms from the ESI i talked about that i don't know how to relate to people. i've also gotten into arguments with her about how other people should be treated (an example: she argued that walmart mistreats its workers and is a company from which nobody should ever shop, for ethical reasons. this was a topic on which i had essentially no information,) which usually result in her using some piece of information that i find questionable, and then descend into arguments about the veracity of this information.
all of the ESI/LIE or Te/Fi duality stuff that you've ever linked to mentions the confidence of the ESI in evaluating personal relationships between other people. essentially, i don't know how this would manifest in an ESI, but i mostly couldn't care less about "what feelings other people have for each other." i don't even know that i understand what it means to have feelings for anyone.