Ok, I think this is a bit game-lawyerish, but the question will come up in a tournament soon and I'd like to have a more authoritative answer.
If a transport sprints with battle armor mounted externally can the battle armor dismount at the end of the transport's movement?
Errata v4.1 says,
"A sprinting unit can do nothing but move, and so is unable to take any actions or fulfill any mission objectives that involve
anything more than movement (spotting for indirect fire, scanning a building, picking up an object, etc.). Systems which require no
action to activate still function as normal, such as AMS, ECM, and C3."
Technically it is the battle armor that is dismounting, not the transport, and thus there is no prohibition. Alternatively, you could argue that the action happens during the transport's movement phase and is therefore an "action" that is prohibited.
What say the gurus?