You're right. But it's so much worse than that.
Imagine, for a minute, that this passes. If a website exists that a specific entity disagrees with (say... a whistleblower forum, or accounts of how Google is abusing its powers, or accounts of a Government is abusing it's citizens), all that would need to happen, is for the "integrity authority" to deny access to that site, and it will be censored. Whereas now, a website has to be taken offline (in most cases) to be effectively censored, if this passes, the "integrity authority" would just need to say nay.
Imagine never hearing of the Snowden files, or George Floyd, or the Russian-Ukraine war. Not because they didn't exist or didn't happen, but because you 'weren't allowed' to see them by an entity who benefits from you not seeing them or knowing about them.
If this passes, we would be -officially- entering a dystopia.