No. I also had an alien enter the room at times, without releasing his comrades from stasis, so I think this is not implemented or bugged and checking that option is certainly not worth it.
Would be a really huge problem for base defense missions anyway, in a large (filled) base. With the idiotic start layout where the containment is right besides the large hangar.
Together with the frequency my main base is attacked, maybe once in June and July and another time in September or October. Would be very hard to keep a number of live aliens.