yes they might,
at initial contact and it's true for all the Mirage ITR.
We could reframe and equate the ITRs in so many configurations if we involve all the TIMs in relation to a single TIM indeed but I like to keep things simple
and after all each ITR involves only two TIMs. As for the "functionalities" :
https://socioniks.net/en/article/?id=95
Yes, that's true and it's related to the Role Function. We are talking "in society" and at far psychological distance the Mirages are naturally drawn to each other (because of the Role Function). Once the persons begin to reveal themselves to each other that initial confusion disappears but the ITR overall "feel" remains of course. That was my initial point.
Maybe at close psychological distance. But in the socion while in their social adaptation (let's call it social persona even if it's not quite right) they are basically EJ temperament and the Fe or Te can be very persuasive even for a 2D function.
Note that in the light of socionics a retroactive shift in our perspective is kinda expected but it before socionics knowledge and typing people (assuming that they are typed correctly of course) we probably didn't have a clue about why those kinds of alchemies happens. Btw, with the Dual it's the opposite phenomenon. The Dual pair are not attracted to each other at far psychological distance (again because of the Role function !) but the more they know each other the more the Duality becomes obvious. We see that dualisation process a lot in romantic comedies, drama and books.