[MichaelZuo]

The explanation seems a bit incoherent for this case of a french entity.

Assuming the complainant has some genuine tip,

Which court would actually determine it to be illegal conclusively? (It can’t be a uk or us court, could it?)

And who issues the binding order to take it down from the known sites?

[Normal_gaussian]

The point is that these organisations are in contact with each other and have established channels of funneling reports to each other and relevant legal systems for action.

Making the report is a long way off court action, and it would be unusual for a court to be involved. In most cases the data is connected, documented, and site owners contacted and educated.

Very few countries see accidental/unintentional hosting as a crime (it will fail most reasonableness tests) and fewer are interested in prosecuting one off offenders who can just be asked to stop.

Most countries are very interested in prosecuting the underlying creators and finding and supporting the victims.