Disclaimer: these are indeed my views, that is, it's not something that I can say anyone else in socionics has said in quite that fashion. Although my present view is that it's correct, it's possible that others could make a good case that it's not.
However, personally I wouldn't consider "I am of type bla-bla, and I don't identify with it" a good case.
Where I'm coming from:
It is self-evident that (1) any healthy person, extrovert or introvert, needs the input of external information and (2) no healthy person accepts every external information uncritically. Everyone has what I will call "internal filters" that help them pick up, from external information, what is "useful" or "useless", what "rings true" and what "sounds like nonsense". We all have observed cases - here or IRL - of equally clever individuals saying things to each other like "you're so naive to believe that" or "isn't it obvious?" etc. This happens because people have different "filters". When the "filters" are, say, "calibrated differently", then of course you have different views on what is obvious or not, or on what you should believe or not.
On the Fe-Ti and Fi-Te divide
So, everyone is "subjective" at one level regarding external information. However, in different ways.
One imperfect way of putting it is this:
Fi-Te: "liking or disliking" (ie being "subective" with regards to) a kind of source of input, "source" also being "individuals"
Fe-Ti: "liking or dislikng" a kind of input
Te: takes any input "as it is given" as long as it is from a reliable source (or person)
Fi: tells you which sources are reliable (or which people to trust)
Fi is here the filter.
Fe: takes the input not "as it is given" but "reading between the lines"
Ti: organizes such input logically, rejecting the bits that do not fit logically.
Ti is here the filter.
In both cases, Fe and Te get the external, dynamic, input - they are the "antennae" - and Fi and Ti select what is "correct" according to "static" criteria of how things, or people, connect - they are the "filters".
Consequences:
Fi-Te:
Fi-Te quadra types - in a "pure", "unrealistic" situation - would prefer to communicate in ways that avoid any selection or interpretation of information - in a "robotic" way even. Which is why, by the way, at least the rational Gamma/Delta dual couples become increasingly "unemotional" with time, at least to outsiders -- they find comfort precisely in the reassurance that there is no need to select information with that particular person, no need to "read between the lines".
So, Fi-Te's way of getting "correct" information is to choose the specific sources of information (not necessarily human beings, but it's more illustrative if we think of it that way) that they can trust, and then in principle take all the information from those sources at face value.
The downfall of doing this: if you choose badly those specific sources of information (or individuals), because then you're vulnerable to all sorts of misinformation.
That's what makes Fi-Te types so sensitive to being lied to, or to any other breach of trust, or even to receiving "softened" information even with good intentions.
Fe-Ti
Fe-Ti quadra types are far more "open" to the specific sources of information, that is, they are not selecting information based on their sources -- they get it from everyone; however, rather than "filter" it through Fi by selecting the sources carefully, they "filter" it through Fe (which already reads between the lines) and Ti (which sees what really makes sense and what is just, uh, padding or make-up etc).
The downfall of doing this: your "filter" may lead you to be "biased" towards information that already fits certain already accepted notions; or be open to information that is factually unsustainable, but makes sense according to Fe and Ti.
That's what makes Fe-Ti types so sensitive to "accusations" that the ideas they most deeply believe in are wrong.
In both cases, what they are reacting against is anything exposing the vulnerability of their filters.
Hence the mutual accusations between Fe-Ti and Fi-Te of "narrow-mindedness".
To Fe-Ti, it looks like Fi-Te will only listen to specific sources or individuals, so "biased" towards them, or "narrow-minded" or "naive".
To Fi-Te, it looks like Fe-Ti will only listen to what confirms what they already think - so, again "narrow-minded", or "circular thinking".
Unnecessary disclaimer: as in anything in socionics, these are trends, not absolutes; obviously Fe-Ti quadra types will also develop preferences for one source over others, if it turns out to be consistently reliable; and the other way around for Fi-Te. But I think that when there are moments of mutual incomprehension and accusations, that's how it tends to happen.