The CDC link says they are two separate classes (one is pronounced as a word, the other one is pronounced by reading the letters)
The Writer's Digest link says that initialisms are the parent class, and that acronyms are the special case of specifically pronouncing the letters as a word.
So, root comment is correct (gwern is looking for initialisms) and GP is incorrect (initialisms are not a subset of acronyms in either definition linked by GP).
> an acronym is made up of parts of the phrase it stands for and is pronounced as a word
I think their guideline is badly written.
It's written like this:
> There are vehicles, bicycles and motorbikes. A vehicle takes you from point A to point B. A bicycle is a human-powered transportation device. A motorbike is a bicycle propelled by an engine. For the purposes of this article, all three will be called "vehicles" in the rest of the text.
They're not saying "an initialism is part of the class Acronym, with added details", they're saying "an initialism is basically like the class Acronym, but pronunciation (which was how we defined Acronyms) is different.
https://www.merriam-webster.com/grammar/whats-an-acronym