Melting wheats

I've been hearing lately that wheat pennies from the '40s and '50s aren't worth very much at all (like 3 cents at the most). So if that's the case, if the melt ban is lifted, would people just melt those as well? If the price of copper rose significantly (but not tremendously), they could be worth more as metal than as coins. I think that's pretty likely to happen eventually. So will they be melted?
And if people don't melt them and keep hoarding them, and other copper pennies are melted, could non-wheat coppers eventually become rarer than wheats? It just seems to me that despite the fact that everyone saves wheats, they're actually not really rare at all, if you consider that most have already been removed from circulation and hoarded somewhere.
And if people don't melt them and keep hoarding them, and other copper pennies are melted, could non-wheat coppers eventually become rarer than wheats? It just seems to me that despite the fact that everyone saves wheats, they're actually not really rare at all, if you consider that most have already been removed from circulation and hoarded somewhere.