Sorry, that's inaccurate.

The rightholder has to provide the service provider with a list of content and the service provider has to prevent anything on the list from becoming available. How do you propose to do this except by filtering content before publication? As soon as something that is infringing is published, the service provider is on the hook. So either you filter or you're in violation.

As a proposal of a proportional way to do the same without opening the door to active censorship, there could be a content identification system that identifies content to the rightholder on upload, and then allows them to file a takedown request. This solves the problem of automated blocking of misidentified uploads, and leaves room for fair use by the mechanisms of existing takedown claim and counter-claim processes. But that's not what the law requires - it requires preventing availability.