In general, if an organization runs more efficiently, it reflects well on the leadership of the organization. Exactly how that benefits a given leader in an organization varies greatly, but if the leader's incentives aren't aligned with the organization's goals, that tends to lead to an unsuccessful organization.

An organization that gets its workers good tools that improve their productivity rather than wasting their time will get more done with the same resources. It will also have an easier time with hiring and retention. Even if there aren't direct pay bonuses or similar incentives, this will likely make life easier for the leadership.

And that's not even getting in to the basic human decency that you should care about other people.