The effects of her TD concert movie on #PRISM are going to be BIG. It wasn't a huge theatrical hit, but moviegoer #s > album buyer #s so it was enough to make a difference. Plus it's aired on TV, it's available on Netflix, Redbox, etc. It has greatly raised her profile and expanded fanbase and everyone who saw it ended up liking her more.
It makes sense because she's so relatable. Her fanbase is HUGE now, she's at her peak moment. Kind of like Gaga around the time BTW (the single) was released. But yeah, that movie really helped her public image.