Society needs anonymous dissent. This is basic.
This bill sucks, but it's no real threat to "anonymous dissent".
Quite the opposite. Most dissent since the time of print has been anonymous, and plenty before then. Society feeling that every utterance or bit of expression has to be assigned to a specific identity is quite a new concept, especially because it's only begun to become technically feasible.
AI is automating this process at scale.
You can do this with non-anonymous discourse too but anonymity just makes it easier.
The future is private forums, channels, Discord/Slack instances, invite-only private networks, etc. The public web and public social media are entering their twilight.