I would think that although the 2016 and 2032 have the same voltage, the 2016 would have less power which would either make it not able to power a device designed for a 2032 or it would last for a much shorter time.
Does anyone do this? It seems wasteful to toss them when the batteries are done, but OTOH I can see people thinking it absurdly cheap to maintain something handed out for free. Depending on the response, I may have a further question.
Sure, why wouldn’t I? Why throw out a perfectly good light?