How? This is no different than a bank or brokerage needing the information.
It's not the same at all.
I would liken it more to having a service called a Library. Which is allowed to host books without disclosing the Name and Address of authors. Just as we have VPN, DNS, and Web hosting providers where it is possible to Buy service using an anonymous method of payment and never tell them your address.
Furthermore, We have many of these services ask for information, But it is Not their practice to "Verify" or "Require proof" of information. For example, GoDaddy is not currently going to require you to submit a Photo ID in order to anonymously register a Protest website's domain, where you would have a high risk of reprisal and frivolous legal attacks from the powers that be, etc.
It's pretty darned tyrannical here if the government is going to say that such an anonymous publication service, VPN, or reverse-proxy service (Cloudflare, etc), is not allowed to exist.
A company does not inherently need the buyer's Name, Address, Etc, in order to Provide these services. Most companies use that type of information, but it is completely practical to provide an Anonymous web hosting company, or an Anonymous DNS zone hosting provider, And they ought to be able to.
Brokers don't necessarily need the info either. If you look at crypto markets - there is an analog to a broker that doesn't need the information. You wouldn't need the information to broker an anonymous exchange between two parties on a blockchain.
A broker traditionally executes transactions of major financial importance on your behalf where you are buying or selling real-estate or other property.
They need the information to properly recordate who owns what. The security of your legal ownership to a piece of Real-Estate is only as good as your ability to Proof that the name it's properly Titled to is You.
That same with a phone company or ISP.
A Phone company or ISP needs the information to build a line to your house, and more importantly: In order to send you a bill and hold you accountable if you Don't pay (Very often they deliver a quantity of service before you are billed).
There are Alternative billing models such as Pre-Payment where a Phone company would Not have to have your information. Burner phones are a great example.