Caudillo, I think you will find that if the pilots stayed home, precisely zero value would be added to the company for the duration of the stay. If the management team did the same, what would change? Well, not much, for a while anyway.
Even more importantly, pilots have the unique ability to subtract value by not being safe and burying one. An incompetent pilot is far more likely to subtract value in this manner. Ergo, airlines should employ, and remunerate accordingly, such pilots.
Unfortunately neither the industry nor the regulator care about safety, it's cheaper to lose a few than pay enough to lose none.