No they do, they're just not readily provable. He was even abusing underage girls in hospitals and young offender institutions. And there were accusations but something made the entire British press STFU. Then you also have the legacy 1980's child abuse cases perpetrated by MPs suddenly coming to light just after.
Conspiracies do exist, you just don't get to find out the truth for a while, how long depends on how ugly they are. E.g.:
https://www.theguardian.com/science/...ience.research