Honestly, my last fermentation club had the exact same fight. We ended up voting on a basic checklist for cleaning jars and tools before every use. Tbh, having everyone agree on the rules upfront stopped most of the arguing. We also started doing a quick inspection together at the start of meetings, which kept things fair.
Wait you actually did inspections at the start of meetings? That's next level group management. @wadereed is right about voting on standards, but turning it into a whole check-up feels so formal for a hobby club. Kind of amazing it worked though, gotta give credit for that.