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You don't necessary get 100% certainty but the probability of success increases exponentially with each new run.

Thus you can get very fast to a probability smaller than you quantum tunnelling through a wall

It’s the same thing as regular cryptography, I can’t be 100% sure that you signed this message but I can get arbitrarily close, and prohibitively expensive to fake

Yea it's the same as a hash collision, maybe they managed to type some other message that hashes to the same thing but it's very unlikely.

You can also use multiple different types of ZK proofs for the same data, same as using multiple hashing algorithms, for more certainty.

> we may never be 100% sure

Right, but we may be 99.9999999999% sure.