Earlier quoted context omitted.
That’s a tutorial or a getting started guide. The manual is a memory helper, like a tiny encyclopedia, not a teaching material.
How does that change my point about an order by frequency of use being superior? If it is a memory helper, then the stuff people tend to use more often is certainly the stuff that needs to be looked up more.
That’s a variable order. I prefer a more consistent order like a default section structure (which a lot of man pages adopt) and an alphabetical order for flags (which a lot of man pages also adopt).
When I open a manual it’s usually for: flags and argument ordering; argument format (for things like string format or globbing). Some manuals are short enough that it can serve as a guide, but most assumes domain knowledge.
What you want is a cheatsheet. And there’s a lot on the internet and even some tools that collect them. But most practitioners write shell aliases and functions