to get lift is to continuously generate a downward blast of air
Interestingly, as it's relevant to the technology.
A helicopter flies and It isn't the "downward blast of air" which causes it to fly. It's the low pressure on the top of the rotor which effectively "Pulls" it up. There is only a moderately higher pressure under the rotor. Literally the rotor is a long thin, spinning wing. In forward flight it even behaves like one, a "disc wing", flies like a plane. The actual airflow down draft from a helicopter is not a downward column of air, but a large toroid with air coming out downward and outward, then rising and .. .if the heli is hovering back through the rotor again.
(Picture Wing tip vortices. Now spin the wing 360*. Now the wing tip vortexs become a toroid.
If you descend a helicopter in a hover too quickly, you start flying "through" that toroid and the result is a significant drop in lift, requiring IMMEDIATELY control inputs to "get out of hover" or it acccelerates making it worse, until you hit the deck. "Ring vortex" they call it.
I experienced this with an RC heli in a rather alarming way. The heli was back tracking towards me. Tail in for easy control orientation. It was descending gently. As I pushed forward cyclic to arrest the rearward velocity it began to descend more and more rapidly. At this point is above me, just in front and descending rapidly towards my face. I was unaware of ring vortex and so I did the wrong thing and I only got away with it, because I was flying a small and over powered heli. The instinct motion of the collective once I noticed something was wrong, I just slammed it full pitch an the heli made a noise of protest like a "Vhummmp" and shot back to rising again. Another 2 seconds and I would have been ducking, holding the controller over my head and taking what I got.
Also, if you flick the engine switch "OFF" you can glide. As long as you can get forward speed, the disc load comes off and the collective can be dropped almost to 0 pitch and still glide without slowing the rotors. So you can literally glide like a plane, for miles if you have the height. The momentum stored in the blades can then be deployed in a sharp, burst flare to stop and land.
Now. Look at a drone. Look at a "human rated drone". You do not see rotors. You see "props". Props do work by shifting as much air as possible through them, they are literally sized and measured by the dimensions of the screw thread it would cut in wood. They do not glide. They can't. They stop and drop. The human rated ones have 8 motors, 2 on each corner. They have to be rated for at least 2 failures, but they can't take a double failure on a single pylon or it flips uncontrollably.
To your point, they also consume a large amount more battery "flying". Flight times on LiPo batteries between a small RC heli and an RC drone, the heli is at least twice as efficient, but it depends on how much time you spend hovering.