Not only that, but leading through a reporting line is 90% influence, too. Relying on pulling rank will get your best reports to find a way to leave ASAP, and others will follow.
Technically yes, but it’s not much different for line managers and often second level managers, though. Maybe you can approve expenses up to $500 at a time and get headcount for a couple more people approved from time to time. Not that different from an IC with a strong relationship with directors and VPs getting the same sort of allocations approved for a team/project they work with/are spinning up.