Being able to play high notes takes more air, more pressure, more muscle ("chops") and a combination of talent, conditioning, and the good fortune of natural phisical attributes that make it possible.
99% of the top trumeters from jazz and classical can not play the high notes like Maynard did.
I've known trumpet players who never got braces because of being afraid of the process changing their embouchure too much.
I also knew another trumpet player who took his own trumpet teacher to the orthodontist with him to explain just how they wanted the teeth aligned for optimum playing.