I'm boarding a JFK/MIA flight yesterday and when Group 1 was called this couple starts to shove in front of everyone screaming we have "paid for priority" waving around BPs that had Group 5. I explained to the couple that "Priority" doesn't mean you go before Group 1, you're Group 5. The woman says we were told we have "priority over all other paxs" to which I replied "you got ripped off if you were told that." So we just let them go ahead but when they got to the card reader the GA sent them away telling them to board when Group 5 was called. I thanked the GA for doing so.