So let me see if I understand this correctly.
1.) Vehicles carrying mechanized battle armor cannot expend jump, VTOL, WiGE, or UMU MP while so encumbered. (I'm actually a bit unsure whether the last case can ever apply, since submarines technically have no need for UMUs and other vehicles can't mount them as far as I'm aware; thus it's not quite clear yet how much specifically subs suffer from this restriction.)
2.) 'Mechs, however, can do all these things, including using UMU movement while carrying battle armor.
3.) Mechanized battle armor other than unsealed exoskeletons on a 'Mech (and possibly the outside of a submarine, depending) can survive underwater just fine and will be able to act normally once back above the surface, but if they're not equipped with UMUs themselves, then (a) dropping off will leave them stuck in place (at whatever depth they were, too, or do they sink?) -- though potentially still able to act from there, especially if armed with energy weapons, and likewise potentially still able to be picked up later -- and (b) diving deeper than depth 15 (not a concern on most maps, but could happen) will destroy them.
Do I have that about right?