The first is the most important in the US for free-speech issues. For instance, "it's true" is considered an absolute defense in cases of slander/libel, no matter how mean spirited or damaging.
Yelling “fire” in a theater is not illegal. It was asserted to be the kind of thing the government might permissible prohibit in dicta (which are not themselves authoritative) illustrating the decision rule, without any citation to supporting precedent, in a later-overturned case in which the court allowed what is now recognized as an imperssible restriction on core political speech.
E.g. in the UK, to even be able to do a check to see if someone is barred from certain types of work, you are required to abide by a long list of terms which goes much further than merely not republishing the data. To request a less comprehensive check requires you to have a compelling need (a specific set of roles). The basic checks can only requested by the person they're about.
Violating the terms comes at the risk of no longer being able to do records check (among other consequences), which may force you to close down your business in the worst case.
Nothing prevents you from making a truthful record of history if you have the data, but lots of things act to prevent most attempts to publish them.
Now, publishing expunged records in the US is morally dubious. I don't know the case law in this area, though, so I don't know where it stands on legal grounds.