I would say "American" (edit- instead of "non-Australian"). It's pretty common in other English dialects. There's a great series called "The Story of Film" which is narrated by an Irish guy who uses rising inflection on nearly every sentence. It's difficult for me to get used to but I wouldn't give anyone a hard time about it.
edit2 - fixed title. https://en.wikipedia.org/wiki/The_Story_of_Film:_An_Odyssey It's available on Netflix