You asserted that you don’t think “there is any expectation every single post […] is checked”. I think my answer was completely responsive to that point.
> [You] expect that 0.01% will infringe copyright
This means you either knowingly or negligently publish material you do not have reason to be non-infringing. The 99.99% of non-infringing posts in the article are a red herring, only that 0.01% matters for this discussion.
The test is pretty simple: did you believe the material was not infringing, or did you have reason to believe it was not infringing. In this case, you expect (your word) some content to be infringing. You might get some leeway from the courts, but you would still likely be found liable for unlawful infringement.
> Or at all? Does IP law not require intent as a necessary precondition of breaking it?
The courts may decide to go easy on you, but intent is not required in civil cases (unless it’s a criminal case). See the law itself: 17 U.S. Code § 501(a), and case law regarding intentionality: Buck v. Jewell-LaSalle Realty Co., 283 U.S. 191 (1931) (https://supreme.justia.com/cases/federal/us/283/191/#:~:text...).
> This looks like a typical troll case.
Disagreeing with you doesn’t make me a troll.