First off I haven't read any responses.
I think that the current tryouts are dogshit. They are hard for the purpose of being hard. However they are the best barrier for minges. The cadet training is a good barrier and the tryouts are even better. That's why you almost never see a clone in a regiment AMRDM.
I love the idea of adding a fun part to the tryout. You don't need to test them on 3 chat faces and 2 verbal faces then every formation then 4 questions seems overkill. Possibly try and do, for example 1 chat face, 1 verbal face, 3 formations and 1 or 2 questions. Then do something regimental based.
Seeing as this suggestion is coming from a new player it does seem valid.