LOL, no... "lived experience" is exactly the same as "an anecdote". There's literally zero difference. Its a different way of saying, "a story". Anecdotes are interrogable as well. Hell, its in the goddamn definition of the word.

an·ec·dote

/ˈanəkˌdōt/

noun

a short amusing or interesting story about a real incident or person.

Your key word in that definition is "real".