They do not need to be mutually exclusive. A mobile app I maintain, for instance, appends each page as you scroll, but it also displays the page number of the content you are seeing and allows you to jump to specific pages.
Exactly. Additionally, it's very easy to implement a single-page-app-esque page button that simply hides one page to make room for another, then allows you to return to that page without loading any more data. Considering how rediculously easy that would be, I'd personally build it in as an option. I do realize though that it's trendy these days to simply omit all options and preferences in favor of keeping it simple.