Leather slings are heavy, esp the cobras. Maybe a big deal, maybe not.
I have a suede leather cobra sling with stiched-in padding that is light. I think it's a butler creek, but not sure. I like it. Pictured below on BLR.
I haven't weighed it but it feels like nothing yet plenty strong. In fact, I took it off the BLR and used it as a harness across my chest with some rope to drag this buck. It wasn't a short drag either. Held up fine.