It's incorrect to target only lo-cost airlines in this debate.
In my experience, the pressure on pilots to operate against their better judgement occurs regardless of the type of operation.
More relevant is the management style. Certain managements (I won't say which, but be my guest in trying to guess a prime example) are medieval (medievil?) in their approach. This is unconnected to the type of operation. It's connected to the management culture and style (appalling lack of).