Sheahanmcculla -
Welcome to T'Net! Lots of knowledgeable folks on here, and friendly & helpful, too!
As to your question on historic mines, IMHO, they have to be taken on a case by case basis. Some still have values to be found, some don't. Some are OK to enter, some definately are not. If you are an experienced caver, that can be helpful, but keep in mind that old mines tend to have their own special hazards - unstable adits, rotten timbers that might look sound, deep winzes full of water (or worse, half full), and bad air that can kill you before you know what's happening. Just to name a few.
Is there a chance you might find some values that the old miners missed? I think so. Maybe. Depends. Is it worth the time to search through the old tailings? Maybe. Depends. Did they already get re-worked in the '30s? In the '50s? Are they among the most popular, like the ones alongside highway 97 thru Blewett Pass? Those have been re-worked ALOT. But... you might still find something there. Who knows? It COULD happen.
Do you know of an old mine in WA, off the beaten path, that paid well when in operation (preferably in free gold), that's relatively stable, dry, with good ventilation, preferably in western WA so no snakes, with a huge tailings pile that's never been re-worked, and you just need someone to go with you? Hey, count me in!! But seriously, people hunt old tailings all the time, and sometimes even get some really nice finds. Go for it. Just be careful out there.
Happy Hunting-
Kilika