No, no. This is what makes Bell's Theorem so amazing. It conclusively proves that local hidden variables is impossible (given some simple assumptions). I know

No, no. This is what makes Bell's Theorem so amazing. It conclusively proves that local hidden variables is impossible (given some simple assumptions). I know you asked for a better explanation, but it's rather long so I won't give one. But the general idea is that you can show that no system of hidden variables can simultaneously satisfy all the experimental results we see.