Actually, everyone assumes that it is signal going through the fiber, but there are power over fiber systems available, and can deliver several Watts of power. Your drone would not need battery and can stay forever in the air. The same fiber can be used for signal transmission too, so it becomes more resilient to electronics warfare.
Power over fiber exists, but you need a seriously big unit to deliver anything over 15 watts. 15 watts does not lift a drone, and it really doesn't make it go as fast as a tank.
15 watts could certainly lift a drone, a 15 watt drone probably couldn’t lift a 15 watt fiber power receiver though. Really the fiber is just silly. Use a laser or regular wires