Pedals are a catalyst to range production. Once the higher range is developed? The pedals are almost obsolete. Like training wheels on your first bike.
Though you won't convince some trumpet players of this fact. They use pedals as a crutch: To re-invigorate an embouchure that really needs rest.
So they blow themselves into embouchure exhaustion, play a few pedals, rinse & repeat. A perfect recipe for over training. Then they wonder where their accuracy, sound and ease of playing went.