Wife and I just back from FLR-CDG-DTW return flight. I'm DL Plat, Amex Delta Reserve. Wife is also Amex Delta Reserve. We flew via AMS on our outbound flight and had a lovely experience with no hassles at the KLM lounge. We've flown to Europe maybe 30 times. I know how to smile, be polite and respectful, behave.

Yet on the return, the AF lounge host at CDG Term 2E (Hall K) scanned my ticket (on my phone) and declined access. "Only passengers who have purchased a business-class ticket may use the lounge," he informed me. (Which is surely incorrect, no?) But then he scanned my wife's ticket (on her phone) and welcomed her in. I asked why there was no problem for her (we were both flying Economy on tickets purchased together with the same confirmation code) but there was for me. He curtly asked for my phone again, waved it under the scanner, and announced that we could both enter. No explanation.

Our return flights (FLR-CDG, CDG-DTW) were booked with DL flight numbers but were both on AF metal. I checked us in for the flights via the AF website, per the instructions on the Delta app. My boarding pass says "Sky Priority".

My understanding is that as DL Plat, I have access to the lounge. Am I incorrect? Thanks.