There is nothing wrong with your warpspeed bridge - they all "herniate" like that.
You could run a micropulley or ring on your bridge for a better feel.
A warpspeed bridge is a good stout bridge - not to be confused with the 2nd (?) generation Cougar bridges which were recalled.
I do like the idea of a webbing bridge because you can fully inspect it for safety. But, wouldn't it be really fast to cut through? A piece of rope or spliced warpspeed, etc you can't see what's going on inside..
Be careful with your experimenting, however, I think there was a guy a while back who was using a piece of bee-line (friction hitch / split tail cord) as a bridge and it just broke, because it was not designed for that application at all whatsoever.