The reality is much more nuanced than that. The online "records" could be fake, out of context, outdated, etc. The internet isn't a git log which you can navigate however you like. You don't get to see the latest revision and on demand diffs. Online, you happen to stumble upon pieces of information. And, as subjective humans, those (usually outdated and out of context) pieces of information often leave the wrong impression.

The law enforcement agencies keep track of what's important regarding my history, not google. And you shouldn't feel entitled to information about myself which I don't want to be made public.