I think pilot's should take the time out and get to know their aircraft better
It's one thing to study and 'know' a systems diagram but i think it's very valuable to speak with engineers about common / known faults or weak points with a particular aircraft , could come in handy one day when you've got a problem in the air
How many aircraft have crashed due to preoccupation with faulty systems instrumentation readings when the aircraft was ok ?
The 2007 Adam Air crash in Indonesia has been put down to the pilots trying to work out what was wrong with conflicting Inertial Nav systems and they stopped flying the aircraft , the Tacoma crash in the USA where the EPR was iced up etc etc
A pilot taking the time to buy the maintenance guys a beer and asking what if questions could be a life saver.