I have been looking at my old John Lyons training and several newer ones, one actually rides English.
One young mare I trained I did such a bang up job getting her soft in the face she refused to take any contact when I tried to ride her.
Lesson: what you do on the ground should translate into something useful in the saddle.
I still teach some give to pressure, especially at first so they understand being tied but not to the extent I did with that mare lol
With the exception of JL all, including the English rider used some form of shake the lead rope at the horse to get them to back up. In every case this results in a horse that throws their head up, at least to start with.
I work hard to develop long and low, and a soft response to backing so it doesn’t seem right to teach throw your head up and then back up, from the ground.
Some of the western guys are particular about how the feet move when doing turn on the fore, turn on the haunches, they want the front or back to pivot, I teach these at walk so they translate better under saddle.
Have you come across other groundwork lessons that don’t translate well under saddle?