understanding what drove the pilots to fly in the way that they did may be the key to understanding this accident.
I don't accept company culture as an excuse for these guys to do what they did. It is certainly something that should be looked at from a human factors point of view and maybe something can be learnt from an organisational standpoint but it can only be a secondary factor to this accident not the cause.
It is just as possible that these guys wanted to be the 'company heros' as it is that they were under any commercial pressure more than what is normal for an airline crew.
All professional pilots know why you don't bust minima. Not to save time, not to save money and not even if the president of Poland tells you to, it's just not worth it.