I had recently bought a bag of $50 in cents from my credit union's coin counting machine to see what I could find. I thought I had sorted out all of the copper before taking to a CoinStar machine to turn my undesirables into an Amazon gift card. I had checked the reject tray before starting and noticed nothing. At the end, there were a handful of cents leftover, most of which were 1982 and earlier coins I apparently missed in my original search. I've heard of coin-counting machines being configured to reject silver (in fact, a gentlemen at the credit union said that their machine rejects silver). Odd that they'd be configured to reject copper, especially a CoinStar machine.
My machines, not coinstar, will take copper. But they will not take the circulated proof coins that I have somehow missed. All I can figure it is because the edges are a lot sharper and not chamfered like they are on regular circulation coins.