Selecting a random page created in the drop-down menu makes the home.php be used as homepage. Shouldn't it display the page selected instead, though ? I do have a page.php template, so logically, nothing hampers one of those pages to be displayed...
I should probably put that into the "docs," but that's the way it's supposed to work. home.php is supposed to be the template that appears on your homepage, and it still is when you activate my plugin. That means that when you select a page in the drop-down menu, it will render that page using the home.php template, if it exists. If it doesn't exist, then it will use the page.php template; if not that, then the index.php.
You're not the first person confused by that, although there are others who requested it before it was a feature. It makes sense to me. :-)