I skimmed through the NIST document and couldn't find that claim.
> [5.1.3.1 allows if] sent from the verifier to the out-of-band device via the PSTN (SMS or voice).
Maybe it is interpreting this part from the same section?
> the device SHOULD NOT display the authentication secret while it is locked by the owner
So it seems to me that SMS is not deprecated but open to issues if the SMS shows the secret. I looked a little deeper in the doc. Section 5.2.10 on Restricted Authenticators lays out that devices could become restricted as times change, but I couldn't find where the doc actually says 2FA over SMS is now restricted.
The post claims that users may allow SMS for trivial services, but does not call out what that means. I don't use more than a password manager for trivial services (forums and the like), and I use 2FA over SMS for things that might have financial details (if 2FA is an option).
The rest of the article makes sense, but I'm having trouble with this one point. Did I miss something in the NIST document? And if 2FA over SMS is out, as a website with billing, should one look at using an authenticator like Duo? The author says to just auth via Google et al, but that feels like kicking the can down the road hoping they or Twitter have something better than 2FA over SMS.