Padded leather just adds weight and is cumbersome. These aren't cheap, but not really that bad considering the quality.
USA hand made of quality materials
https://www.montanagunslings.com/
I initially bought the 1 1/4" and a year or 2 later bought a 1" sling. The 1" version gets used a lot more. On a heavy rifle you might prefer the 1 1/4". They make black or tan. I've been meaning to buy a belt from him.
You can attach the sling either way. With the loop toward the forend you can use it as a shooting sling. With the loop toward the butt you get rough leather on your shoulder to prevent it from sliding off. I usually carry loop down. I may swap it once on stand, may not.
A video showing one on a rifle. Shown loop up.
https://www.youtube.com/watch?v=YTMUvUngRYY