Just coil it up and tie to the end of your hammock. It would be an excellent selling feature with still new or little worn "original" suspension.. like buying an old car with low miles on it. I really can't see the few extra grams/oz. issue bothering you that much, and the original suspension could come in handy in certain situations, big trees, big spread apart I really want to hang here locations, or if your other suspension broke., you have a back-up susp.ready to go.
Ambulo tua ambulo.