It would depend on the discipline. A roper is not going to ride like a reiner who is not going to ride like a WP rider who is not going to ride like a cutter who is not going ride like they are out on a trail ride and so on.
I would guess a reiner would be in sort of a "normal" position since he or she is neither roping or cutting. I would think reining would be a good example of western riding, at least from what I know about it. I don't know about WP. I really dislike how the horses move and the riders look pretty rigid as well, so I wouldn't really use it as an example of western riding. It is more of a beauty contest on horseback. I would never use that as an example of how an actual horse and rider are supposed to look out in the real world.
So do you guys think in general most western riders have a similar "home" position or not?