I can't answer all your questions but can help with a few.
M1 knobs are 1/4 moa adjustments
M2 are 1/2 moa adjustments
M3 are 1 moa adjustments on elevation and 1/2 mao on windage.
The M3 offers quick range adjustments but are very coarse and the ele knob is used as a bullet drop compensator knob (M2 knobs also) for specific loads. Chances that it matches your loads, velocity, temp and all that are slim. They are close but not perfect.
M1 knobs are more precise but take several turns to reach to say 1000 yds where the M3 does it in one turn.
The MRT is for mediem range and the LRT is long range so I am guessing leupold felt the Mrt didn't need a paralex adjuster.
I have several of the 3.5x10 M3s that I like but I am not going for the tightest groups. If I get close to the center and hear the steel plates I am happy. The M3s work great for me out in the desert where I just toss the plates where ever.
The TMR will only be worth it if you plan on learning to use it to range and for hold overs. Same with mil dots.
I have taken a half assed interest in learning mil dots but find I don't use them for hold overs, just for range. I use the elevation knob for different distances instead of the mil dots which is why I like the M3s. So I'm lazy.