Nope, sorry, that's an incorrect generalization about English and Western riders, at least based on my area and my experience.
Training is training, basic submission is basic submission.
I expect my horses to stand quietly tied, or stand quietly on the trailer. I preferred not to get stalls at shows as it greatly adds to the expense.
From foxhunting and trailriding, I expect my horses to stand quietly when tied, for hours if need be.
A horse that won't tie is a nuisance, period. Handwalking the horse all day or getting a stall that you wouldn't otherwise because the horse won't tie is allowing the horse to train you.
English and Western have nothing to do with it.
Ex: One circuit I shoot and have for years. 99% of the horses (in both the H/J and the HUS) do not have a flying lead change. Even the ones I have been shooting for 5+ years still have not flying lead change. Among other problems I do not see at the shows that I show at. Although there are other shows I shoot that have both western and English classes and you will see some of the same things there too. However those are mostly kids.
This sounds like a very scary poor example of a hunter circuit.
The shows I shoot are rated level state shows. I know that is not the top level but a lot of the horses/riders also show at A rated shows and still have no lead change.
I highly doubt they show at A rated hunter shows with out a good lead, if they do they are showing in the non-rated classes and still not placing well.
I love the jab about all the horses that have a lead were formerly western horses.
My old man was originally trained as a western horse. They backed him to start showing as a 2yo in western classes.
When I bought him at 5 he had no lead change. They actually had him so unbalanced from trying to get him to be a peanut roller that loping/cantering was next to impossible.
It took a full year to undo what those amazing western trainers had done to him.
Now, as an English hunter horse he has a lovely lead change and will stand tied to wherever I want to tie him all day long*. (Note, he did not come to me with tieing thing either. Something else us horrible English people taught him.)
It is hard for me to believe that someone with as much true knowledge as you have (reiner) would be pushing such a short sighted stereotype.