I have a NW ticket with NW flight numbers from HNL-LAX-LIT which will obviously be on DL metal. I asked the DL Crown Room which lounge to use with my Amex Platinum card and they said use NW because the ticket is NW and has NW flight numbers.

I went to NW lounge and they said that is on DL metal so you can't come in here. Which one is right?