Oh Well. Rarity and Value are based upon a couple of things. Desire and Availability. Once folks realize that they are not as readily available as they once were, then the desirability goes up. When desirability goes up, the price usually follows but folks must "WANT" the pieces. If nobody wants them, regardless of rarity, then the prices stagnate until the pieces become truly rare. But by then, it's too late as the prices then skyrocket. As for the commemorative coins missing from that packaging, the coins within have little interest to most folks today other than the silver content. Most of the designs are boring and flat as its a specialized field with a select group of collectors that more than likely have more than they'll ever need.
As a collector of modern commems I guess it gives you a little weird feeling to see those in the trash can. I'm sure most of those were from the eighties with mintages in the hundreds of thousands so I guess they won't be missed. They won't get mine though.
No need to melt them, their weight and purity are defined by the U.S. Mint. Why waste the money melting them into another coin with a defined weight and purity?
Except the refiners have customers that need or want 999 fine bars and the coins are readily available scrap stock. I think you will find that a LOT more coin gets melted down than people think.
I agree with Conder101 and suspect a lot of stuff does get melted, esp. 40% halves. I'll bet Roosy dimes, Wash quarters, Franklin halves and 64 halves get melted and the Mercs and WL halves get a save. Apmex charges a bit more for them. Good stuff got melted in Jan 1980 when silver was $50 ( more like $125 in todays' dollars).....bags of BU peace dollars, barber coins, even seated liberty stuff, I'm sure SLQ's with dates and tons on Mercs and WL halves and silver dollars, proofs, unc rolls, etc. If you crack stuff out like proof silver state quarters and bag them....they are ruined as proofs....might as well melt them. I can see this stuff getting re-coined as ASE's.