The flying private example in the first section misses the entire point (or 99% of the point) of flying private. Flying on a set schedule, arranged long in advance, with 30 strangers, from one major airport to another major airport, is not the point of flying private.

Flying on your own schedule, to/from more conveniently located airports, bringing family pets along, having private conversations among the pax, having exactly the catering you wanted, and otherwise having the airplane to yourself is the advantage that makes private jet travel appealing. Just skipping parts of the TSA checks isn't nearly enough.