@Weaver, I really don’t know, but I’d like to.
Years ago, “mobile devices” were served by WAP which is now, I believe, pretty much obsolete. Mobile browsers identified themselves as WAP, which was a markup language of its own. If I understand right (I probably don’t), it was effectively cut-down version of HTML. And in those days it was a simple boolean choice... is it WAP, or HTML?
A basic mobile device, with limited screen resolution and low data rate, would be served WAP content. But a very advanced (by contemporary standards) phone that supported full HTML could just access the HTML version, rather than WAP.
Nowadays, I really don’t know how to predict what will happen when I select “desktop site”. Sometimes it does what I want, which is to show the site as it would appear on a desktop PC. But not always. From a quick search I don’t think this uncertainty is restricted to Apple, the same choices exist with Google software.
Sorry, nothing helpful there, more questions than answers.