Gary is sort of unique in the sense I beleive he enjoys showing as much or more than he does doing. And showing is best shared with the less experienced, those who haven't already got set in their ways. I'd be hard pressed to fault an experienced bowyer for some method I don't personally favor, but works good for him. A newbie, who doesn't really appretiate the nuance perhaps, certainly is well served. And even an experienced bowyer, a saavy one, can always learn something new.
I'm real anal about having the string bisect the bow along it's lenght, so I generally force the issue.
One of the aspects of selfbowyerin' I hold in high regard that a fella must, or should, make do with what he's got. Sounds like that's what's behind Gary's way, but like others have said sometimes, well frequently, one single way isn't always the best in every context. I'm sure Gary or any other bowyer with his experience would agree, sometimes you have to take everything into consideration and make out the best you can, even if it requires being a little creative.
When I make a bow, particularly one where these some feature which is most, I try to put the best wood in the most working part of each limb. That frequently dictates which end is the lower limb. And I almost never "switch" ends during construction. Not that I don't leave myself some room for surprises, just use different methods, like leaving generous width and or lenght until I get it a string on it. Then I can adjust and finalize the design when I see what's going on with one.
Gary can sure turn a pig's ear into a silk purse.