I'm actually in the opposite boat. I'd like to order the new Navy Label as I need shirts with a slightly fuller cut (22" chest measurement), but... I'm also short (5' 7"), which means the shoulder/sleeve/length measurements are all a hair too long (assuming I don't tuck in the shirt).
Cappelli uses different terminology. "unlined" on their website means untipped/rolled edges. By default, he uses an interlining, which he refers to as "padding" (although, you can ask him not to use padding/interlining with a custom order). I had a lengthy/awkward email exchange with Patrizio the one time I placed an order.