I've used the Sky Club dozens of times before traveling PDX-JFK or vice versa in X. Usually, my itinerary is DCA- JFK- PDX or PDX- JFK, and I've never experienced a problem. Last week, traveling PDX-JFK-BUF, the SC agent in JFK denied me entry, saying that I wasn't an international passenger. I brought up Delta's website on my mobile and showed it to her, but her response was, "Well, I don't know what the website says, but I got the rules right here." I ended up walking to the T3 SC, where the agent initially questioned me again, but then entered some sort of override and let me in. I made a frustrated comment, "Computer glitch?" and the agent replied, "Yes, computer glitch," but I'm not confident she comprehended my remark. Delta's website says access is granted to "Customers traveling on a nonstop Delta First Class, BusinessElite, or full Y-class ticket between JFK and Denver, Las Vegas, Los Angeles, Orange County, Portland, Phoenix, San Diego, Seattle, and San Francisco." My ticket wasn't non-stop, but, again, I've never had a problem using the JFK SCs on my DCA- JFK- PDX tickets. Has anyone else experienced this? Is access during a layover allowed? I asked for clarification via a TTU, and received an ultra empathetic and completely worthless, "We're sorry," message.