Thank you for enlightening me. As someone nowhere near rich enough for this to be relevant, my upper bound for pleasant W-E transatlantic flight is being able to sleep. Shortening that sleep seems like a loss. But if you have a private jet on call, you can skip connecting flights, airport security, schedules, and all the things that actually make flying slow and miserable. I guess this company is aiming at the people who don’t quite have that kind of money.
Flying can still be a hassle flying business/first mostly because of cancellations/schedule changes--which can still happen otherwise because of weather, air traffic, etc.--but is less frequent I assume. A lot of the hassles of commercial flight (security lines, lack of overhead space, airport crowds in the waiting area, cramped seating, etc.) can be mitigated to a significant degree however.
If I have a lie-flat business class option with decent food, getting to my destination a few hours early with less comfortable seating isn't a clear win. Like most people, I'm not jetting over to London to have lunch and sign a deal and heading home to sleep in my own bed.