may be a better version of what you propose, depending on what you're looking for. On my system, this also gives me entries from sections like '3x' and '3ossl' and '3bsd'.
Cool. And GNU "info" is a hyperlinked doc viewer system. Some GNU and other projects promote info doc as more authoritative than man pages. Man pages are expanded cheat sheets.
For in-depth doc, I do appreciate docset-based indexed search apps like Dash that can download and update comprehensive doc locally with greater performance and less internet dependency than internet only. There's even vim and nvim plugins to bring that to them too without leaving the terminal.
Run `apropos . | grep "(3)"`; you'll be surprised how many libraries come with man pages for their functions (e.g; curl).
Now I wonder if there are any IDEs that can automatically dial into these man pages and pull up documentation for functions?