I suspect 40 years ago it was a damn bit easier to turn a tire inside out. Todays radial tires are much stronger.
Size matters a lot on something like this. It might be possible to turn an 1100-22 inside out, but I think trying the same trick on a 5.70x8 would be damn near impossible.
The OP's reason for wanting to do this puzzles me. I can buy clean poly open head drums locally for about 20 bucks. I simply store my stuff in regular old building space, but if I wanted dry outdoor storage I could move with a hand truck the poly barrel would be my first choice.
Old tires are just an all-around pain to me, and if you collect too many of them where I am at the county will be on your ass about it as well.
B.