I’ve wrapped all my scionwood in parafilm and stored them in a fridge until grafting time. That’s average 4-5 months long. Never have had any biodegradable issues. In fact, I could not graft all scionwood I wrapped. thode woods still looked good in a fridge. I threw them away.
The only down side of this method is that I’ve used a lot of parafilm. Wrapped scion stores well in a zip locked bag without moist paper towel.