I recently did a pleasure trip from SFO-JFK-CDG/CDG-DFW-SFO where I upgraded to business/first. A "Priority" luggage tag was on my bag (and intact upon arrival at my destination) on both legs of the trip.

When arriving at CDG after checking my luggage at SFO, my bag was among the last 5 to come out for my flight.

When arriving at DFW, my bag was among the first few out, but many others in Business were left behind and regular luggage was coming out in full stream.

After checking my bag through customs, I handed it back to a handler at DFW. Unfortunately, the bag did not make it on my flight. My bag finally showed up on the second plane to land from DFW after mine, and my bag was among the last to come out from that flight.

Being 1600 qpoints away from PLT isn't as exciting as I had originally thought it would be, since "Priority" bag handling is a PLT perk. I usually have better luck without the priority sticker!