I have Olympus Epics, OK cameras. I don't like the image quality but everything else is good-enough (AF, durability, battery life, user controls). I'd prefer that the AF were less noisy and that I have more control over the exposure but I have to compromise some things.
I have both Olympus Stylus (Mju2) and Contax T4. Assuming the T2 is similar (not really). Apart from the relatively small difference between 38mm and 35mm focal length (come on!) they have, to me the same qualities and shortcomings. (Very)Good optical quality, no control over exposure, defaults to auto-flash at each power-on (need to cycle to flash off), shutter lag because the focus is pre-determined (and locked) with half press, but the lens actually moves only when fully depressing button. Maybe the T4 has a closer minimum focus (35cm), don't remember what it is for the Mju2; don't know for T2. Both are somewhat noisy (focus+film advance).
To answer your list of requirements.
1 battery life. Mju2: OK, in the sense that cost of battery replacement is negligible compared with cost of film. However long the battery life, you need to carry a spare battery. Yashica (T4 in my case) not enough experience
2 auto focus. Good for both Mju2 and T4. Must remember to center main subject, lock focus, frame, shoot.
3 shutter lag. Not negligible for "decisive moment". Mechanical camera better in that respect.
4 durability. Had the Mju2 for >10 years; no problem. Bought a T3 and a T4 for peanuts, obviously not new, both work OK.
So, OK, I did not really answer your questions because the T2 is a different (better?) camera than the T4. Have a look at:
http://www.iambidong.com/2013/03/contax-t2-review-20-years-too-late.html
Why not get yourself an Olympus 35RC? Estimate the exposure (you get to learn pretty quickly, the exposure meter only confirms your guess), zone focus or use the rangefinder depending on whether speed or accuracy is more important. A lot more silent than the plastic P&S. Total control over exposure. Plus, you can use filters in B&W (near impossible with a P&S) if you can find the 43.5mm filters. Or, another 70's rangefinder with 46mm or 49mm filter size (several choices).