The automatic transmission receives its lubrication through a pump located at the front of the transmission, so if the engine is not turning(running), regardless of any gear, the transmission will not lubricate and it will literally burn up the internal parts.
The manual transmission does not...
Not at first, but I've noticed a dead spot in my steering. At center I can turn the wheel about 1/4" to 1/2" left and right and the jeep still tracks straight. Feels almost sloppy like my 20 year old xj :/