I haven't noticed a difference in grounding, but I never had a problem with the oem ground other than it being too short and wouldn't fit on larger square tube when I close the end for a screw in caster.
I'm not sure about the second part of your question but there's no strap going to the other side on the ground hog clamp. I stripped the #2 cable back far enough to double it over and pushed it into the ferrule.