No, I'll stand by my point. If you're indispensable, you're partly responsible for an organizational failure. If management recognize the problem and have time and space to address it, they may work with you to fix it. But in a time of crisis, when headcount needs adjusting, smart management will see you as a liability and act accordingly. Bureaucracies have a lot of momentum and are more resilient to the loss of an individual than they may appear. Obviously this is big-company thinking, and it applies in proportion to how bureaucratic your organization is.