Ankle braces prevent sprainsHolds upIn a trial of high-school basketball players, lace-up braces cut acute ankle injuries by about 68%, whether or not players had sprained before. Injuries that did happen were no less severe.
Back support belts prevent back injuryFalseA Cochrane review found moderate evidence they're no better than no intervention for preventing back pain, and a study of nearly 14,000 workers found no fewer injuries.
Knee sleeves prevent knee injuriesUnprovenWarmth and compression can make knees feel better under load, but no good trials show fewer injuries in healthy lifters.
Compression sleeves speed recoveryMixedA meta-analysis found small benefits, larger for strength recovery after resistance training. Participants always know they're wearing compression, and effects over weeks of training are unknown.
Copper-infused fabric relieves pain and inflammationUnprovenThere's no good evidence for it. In a randomized trial of copper bracelets for rheumatoid arthritis, they did no better than placebo. Any effect of a copper sleeve comes from the compression.