Not exactly. Even though you shouldn't have to ADD air to your BC when ascending, you still need to use the left hand for dumping gas from your BC as it expands, either from the corrugated hose/inflator, or from the dump valve, so it is absolutely recommended to have the computer on your right arm. Also, in case you dump too much while ascending, you might need to add a little bit back to remain neutral, especially to level out on your safety stop.That explains why I was confused when an instructor told me the dive computer needs to be on the right arm while the diver controls their BCD while ascending.