"So when you say have "jQuery Mobile to always create a "dummy" content-free page", what exactly do you mean by that?
I mean that the fact that jQuery Mobile always caches the first page is poor design. It's a fundamental design flaw. The first page is "special".
The reason for this is that the first page is the "base" for all other pages that are loaded. They are actually loaded into the document that came with the first page.
A better design wouldn't make the content of the first page loaded special, in that it is always cached in the DOM.
When I said "it's too late for that", I mean that this design flaw is now effectively set in stone.
Best you can do is to have the first page empty and write a bit of code to immediately transition to some other page, which would not have to stay in the DOM.