This is directly connected to the "locked out of tchort's institute" problem. As it is, you can only free the rejected in the forbidden lab if you join the tchortists., because the correct sequence of events for this quest to succeed is: jump down the hole in West Wing, open the cages and the ventilator shaft leading to the West Wing. Unfortunately, this means that If you make the tchortists hostile too early (e.g by failing the interview), you won't be able to finish this quest, because jumping down that hole locks you out of the institute.
Such quest design would make sense if you had to sneak the rejected out, but it is possible to fight your way through the entire building instead, killing all tchortists, and in this case it makes no sense that you still have to find them a "secret" way out. It's not like there are any "keepers" left to stop them.