I prefer webbing. I think it slides smoother thru the tether carabiner. I don't like the feel of the buries when it slides under weight.
There are different styles of weave of webbing. Some is much softer and smoother than more coarse weaves, so that might effect the feel of the slide for some guys. Different carabiners can make the slide feel different, too.
One other thing...The length of the bridge also makes a difference. A super long carabiner makes for more of an acute angle at the tether carabiner which effects how easily it slides. A short bridge keeps the orientation of the angle much less acute and allows for easier rotation when twisting around for the drop shot.
For me, there are several reasons why a shorter bridge works better.