How to enable the (old) 2-step (not 2-factor) verification?

[laz232]

I don't have or want iCloud because of reasons (I like having control over my documents and photos for work reasons (documentation of measurement results, inspection data etc) that I don't want to "suddenly" appear on photos timeline or whatever Apple suddenly decides it's going to be social about).
Nota Bene: I am not interested in debating this for the purposes of this question.

This link:
https://support.apple.com/en-us/HT204152

Tells me that I can still get two-step, but I only the option of 2FA (via iCloud) when I go to my settings on my account page on Apple.
Any clues how to get good old fashioned 2step?

 

[ScratchSF]

appleid.apple.com. If you log in there you can set up 2FA that does not use iCloud. It will send the code to the device you select. I'm not sure I understand the connection between your apple accounts and 2FA. I imagine you can use 2FA without fully enabling every iCloud service.