As a European, I find both the ability to force others to not distribute information, and the ability for others to restrict my access certain types of sites to be a disgusting violation of free speech. I would expect this in a certain country in Asia, not in bloody Europe. Not only does it violate free speech, the new ability to perform website takedowns bypass proper law and order, by not leaving any ability to defend oneself in a proper court of law. A copyright infringement claim may be false, for example.

The ability to block content country-wide won't help reduce misinformation, which will always have ways to spread. What are we going to do, make it illegal to be uneducated, have unpopular opinions or be a bad person? Instead, this new power can easily be abused to stop the spread of real information, and unpopular (for example, government-opposing or religious) opinions.

The original ability to delete information is absurd in a similar way, but more limited, as only the subject can request it. Yet it still bypasses a proper trial, leaving it up to you and the service provider to conclude if the information was useful to the "general public". That's definitely going to result in deletion of valuable information.

If you want to give people a way to defend themselves against harmful information, give them the right to amend it instead. Deleting it is wrong. If you want to avoid fake news like you state, educate. Controlling people by removing information is wrong.