I've seen this called the Hatteras Cast. Do people really do this?

[ExcessiveAngler]

Yeah, I just happen to watch this again!
That video was definitely sped up, watch the very beginning when the guy or maybe it's a kid, backs up out of the field of view lol!
Definitely unnatural looking, and after watching the video with the sound on, which I didn't do before, looks like he's holding a fixed spool reel, but sounds like a revolving reel lol!

[Breadfan]

I do a simple push/pull and I send it pretty much where it needs to go. No need for flair, just thump it. Hitting within a few feet of your aim is the game.

[akfish]

Not really a big deal to me. That's exactly how I cast sardines when flylining for tuna.