What the term actually promises
'Provably fair' is a specific cryptographic protocol, not a marketing slogan. What it commits to is this: the casino cannot change the outcome of a round after you see the inputs, and you can prove this was the case for any given round, after the fact.
That is a narrower claim than 'the casino is honest'. Provably fair does not prove that the casino's odds are advertised correctly. It does not prove the RNG is unbiased. It proves exactly one thing: the result was determined before your bet was placed, and the operator did not pick the result to make you lose.
It's useful. It's not a panacea.