You’ll find yourself taking risks you never would have before. Jumping into the Doomsday Zone boss fight without a care in the world allows you to appreciate the spectacle and the music (arguably the best in the series) without the anxiety of dodging asteroids.
Depending on what you're looking for, here are a few ways to "get infinite rings" in Sonic 3 A.I.R. 1. Dedicated "Infinite Rings" Mods sonic 3 air mod infinite rings