At least with DMCA you so get a notice and you can somewhat challenge it. With Italy's Piracy Shield you have no notice and there's no public record of which IPs/websited have been blocked, so it's hard to even challenge it in court.

Nothing prevents anyone from sending in a fake notice anonymously, which will still force any provider to take down your content until challenged.

Not really, this is at a World level. Italy wants to ban an IP globally in 30 minutes.

DMCA take downs are domain specific with one provider. So scale is completely different here.