You are literally the only person I've ever heard of who read the name of the ability and decided to ignore the plain words of the ability text.
Do Fighters get to use Second Wind twice per short rest at your tables? It's Second Wind, so there has to be a first. Or perhaps they can only use it after someone casts Gust?
If you had a Wizard/Cleric multiclass, can slots recovered with Arcane Recovery not be used on Cleric spells?