The lawyers would argue that once used for a hanging, the rope is weakened to the point where it could fail in subsequent lynchings resulting in prolonged suffering. A boon for rope manufacturers, an added expense for governments.
Scientists could use the lawyers to test that hypothesis. Either way it would be a win-win for the U.S. ;-)
I recall a TV documentary years ago that included the Russian method of execution. They had the condemned bow his head and stick it out of an opening in the cell door. Then a guard shot them in the back of the head with a pistol. Hit in the reptile brain, they died instantly and didn’t even twitch.
IIRC, hangings were always carried out using brand new rope.
See Twilight Zone episode “Dust” for a dramatization.