I thought she follows HOPE, considering his face appeared on her during the Beach Event, when she/HOPE turned the day into night.
So, technically, the Sensei we have right now could be the original Sensei who had something to do with Maya (Due to her stating, that he's the most similar so far). The previous Sensei seemed to be one that actually taught his students with the accepted distance (Last Name Basis), which could be the Sensei from before Maya, which would be from his time as a tutor and Niki's boyfriend.
If we assume that Sensei has Split Personalities from "The Accident", which may or may not tie into Kaori, then the resets are there to benefit him into becoming a mentally healthy person again. The Teacher Sensei may have been close to it, but the events of Baby Flinches show that he couldn't accept it, and proceeded to jump, which might have caused a "True Reset" and brought Player Sensei into play, which is the Sensei Maya personally knew.
Someone probably said all this already and I'm just repeating it, but if not, then tada.
I had considered writing a "BELL" (Besondere Lernleistung) about LiL, which would tie in into my Abitur, but I'm not sure how that would have fared.
Anyone here one of those people and want to publicize their analysis? Would be interesting to read while commuting.