That’s the beauty of it: the hoster is required to take it down ASAP. If it turns out you filed a frivolous claim and someone bothers to follow through, they are always allowed to sue you within a couple of following weeks, and that is not hoster’s concern.
Hoster’s concern is that if they do nothing then they are going to feel the hammer of respective infrastructure providers, none of whom want to be fined or jailed because of some small fish like Nitter.
I would not count on police in such cases, even in a developed country. If someone, say, doxxed you with an address and a photo, what you want is for that to go away before a predator sees it. Police may not act until it is way too late.
