I guess it really depends on just how much sulfur we're talking about. I have an air induction (eductor?) system and a water softener. The air system uses a fiberglass tank with media (similar to a softener), but the media captures the sulfur. Every 4 days, the system runs: the air valve opens and introduces ambient air to the media (displacing some of the captured sulfur), then backwashes and dumps the sulfur to the house drain and then it's ready to capture more sulfur.
Every 6 months or so, I manually introduce 4 cups of chlorine bleach via the air valve and a suction tube. This essentially extracts all the sulfur from the media (better than the periodic air flush) and I'm good for another 6 months. We know it's time to perform this, when we can smell sulfur at the tap. Media gets replaced every 8 years or so.
My understanding is the peroxide injection (or chlorine injection) systems are better for significant sulfur contents so it really is dependent on your water chemistry.