Nah, the nakedness was meant to symbolize humanity gaining self-awareness, which separates them from the purity and innocence of other animals. After Adam and Eve eat the fruit of the Tree of Knowledge, they realize they’re naked and feel instinctively ashamed of that (as most people would, but regular animals wouldn’t), so they cover themselves with leaves. In fact IIRC, the fact that they’re covering themselves up is what tips off God that they ate the fruit.
I know you’re joking but you basically just suggested buying a pack of frozen mixed veggies so you can pick out and use only the carrots for your stew, and the idea of someone actually doing that sends my brain into a tailspin