Of course it matters. If it's real, it's a strange, perhaps touching story. If it's made-up, it's a trite and rather artless attempt to yank at your heartstrings. Being coy about whether something is a true account, fictionalized or outright fiction is a cheap way to avoid criticism of both one's reportage and art.
Jack Shafer wrote about this sort of thing regarding a David Sedaris flap a few years ago:
If it's a trite and artless attempt to yank at your heartstrings, sure. The difference is, fiction declares itself as fiction so you can judge it on its merits as such. This thing would not get a single repost nor an iota of internet attention if it announced itself as fiction. Comparisons to Murakami notwithstanding, it's terrible fiction.
I enjoyed the Coen brothers tweaking of this convention with their fake "The events depicted in this film took place in Minnesota in 1987. At the request of the survivors, the names have been changed. Out of respect for the dead, the rest has been told exactly as it occurred" declaration.
Jack Shafer wrote about this sort of thing regarding a David Sedaris flap a few years ago:
http://www.slate.com/articles/news_and_politics/press_box/20...