The words provably fair on a homepage are a claim. A verifier you can run yourself is evidence. The distance between those two is where most sites live.
Plenty of pages print provably fair and stop there. No link to a verifier, no seeds before play, no history. If the mechanism is real, it has parts you can find: a hash before the round, a reveal after it, a formula you can run without asking permission. If you cannot find the parts, the badge is decoration.
Sites with real answers put them one click from the game. Sites with a slogan make you dig. The digging is the answer.
If you would like to learn more about the technical workings of provably fair algorithms, you can download the whitepaper.