I think it would save a lot of time if the troop type presented after selecting a general could be appropriate to the adventure currently selected or in progress. This relates primarily to a situation where an elite (Ali Baba) adventure is in progress so that the elite troop selection screen is shown rather than the "normal" troop selection screen.
Ideally this would occur both on your own island if an elite adventure is your "primary adventure" (rather than an ls) and on the adventure island, but having it occur only on the adventure island would still be great time saver.