Does the indirect narration style (as in: 'Surely she was going to ask him out tomorrow.') directly fall into the classification of Narration?
If by indirect narration you mean indirect speech, yes, I believe it is a style of third person narration. e.g. He said he would of course help. You also get free indirect speech, which is a combination of both third and first person narration by dropping the "he said" e.g. He would of course help. See here for more: http://en.m.wikipedia.org/wiki/Free_indirect_speech
Technically it's still the narrator (author) saying what the character may or may not be thinking so I would say yes.
In narrated films, the narrator might add their own thoughts about events here and there like this and it would fall under "narration".