No, that's entirely inaccurate, and I say that with no judgment on your perspective, but let me explain.
The only circumstance in which you could imagine some online comment attracting scrutiny under this law would attach to behaviour that is criminal today but would be punished less severely.
The symbols piece that you pointed to, for example, is attached only to the wilful promotion of hate. This is not a blanket symbols ban. The wilful promotion of hate is a crime today, but we want to recognize a distinct charge where that same behaviour uses certain symbols of hate to bring a higher degree of culpability, so there is no new human behaviour that would attract the scrutiny you're talking about.