Today, I own 2 Bb's: A Schilke and a Bach. Both great horns. Both different. The Schilke's partials/slotting are zippy fast where the Bach's are firmer. The Bach's timbre has a denser body while the Schilke's timbre is . . . is . . . more lively (there, I'll use lively. The Schilke's blow is more open than the Bach.Tell me your trumpet brands and how you like them. Answer my question if you'd like.
About the high registers, neither horn provides a magic bullet to play higher than the guy next to you.