I found the thinking in the article to be mushy.
The title asks a reasonably specific question, but the article then goes on to talk about things in ill-defined ways. It mixes in other layers which aren't directly part of the titular question, but nonetheless influence the answer. In an update, the author goes so far as to state that a new test done differently resulted in a different answer. As you point out... very little relevant detail is included for PostgreSQL (which I know well) and I'm sure insufficient detail for Redis (which I don't know well)... certainly not enough detail and well reasoned testing to merit a public posting on the subject.
That's not to say that the gist of the article is incorrect or unexpected... I would expect a well configured Redis to perform better than PostgreSQL for reading and writing JSON data. But there's nothing I can really learn here that makes clear differences with well understood external influences.
The article is just anecdote, not really good testing.
The article should be titled something along the lines of, "How much faster is my way of using Redis at storing JSON than my way of using PostgreSQL?". Perhaps "Medium" would have been a more appropriate venue as well.... ;-)