We struggle to recycle normal batteries without injuring or killing people. Lead-acid batteries contain literal plates of lead oxides, and we can't manage to keep that out of the water supply! I don't see how we'd do any better with silver nanoparticles.
Nothing I'm saying is meant to condemn recycling as a concept, by the way. Only to condemn technologies where disposal is dismissed with a shrug and a "idk just recycle it."
> we can't manage to keep that out of the water supply!
AFAIK, the lead in the water supply doesn't come from batteries. It mostly comes from lead pipes. Lead acid battery recycling is one of the more efficient recycling programs out there.