Retreads don't fail any more often than normal tires. Retreads have an unwarranted reputation for falling apart and as the GP comment indicates that is pretty well ingrained in consumer beliefs.
Google "nhtsa retread study" if you want to learn more. It covers truck tires but (other than cost) there's nothing fundamentally different between those and smaller road tires.
Airplane tires are also regularly re-treaded and it's not viewed as a negative or "cheapskate" action in any way.
For road car usage, I'd be more concerned about dry rot and aging tire issues from age than anything else. New car tires are cheap. We drive about 5-6K miles per year per car. We change tires based on calendar age about as much as treadwear.
Google "nhtsa retread study" if you want to learn more. It covers truck tires but (other than cost) there's nothing fundamentally different between those and smaller road tires.