You know, other than the two octave scales I was required to do of all scales in High School, an upper register was never a requirement. The auditions I made for all other ensembles I auditioned for (University of Cincinnati College Conservatory of Music Jazz Ensembles-small group combos and big band and Colorado State University Big Band) were to perform required prepared piece an a site reading piece).
What was amazing at the Colorado State University audition was an improve piece where they gave me a chord chart only (no recorded rhythm section back up) and told me to start playing. Again, no range requirement which was interesting, and I came out of that audition as lead trumpet (first chair) in their first band!