Experimental cinema is experiential!
The term "non-narrative" (in 2008?!) just doesn't seem right . . . :)
Look closely:
experiment:
1348, from O.Fr. experiment, from L. experimentum "a trial, test," from experiri "to test, try" (see experience). The verb is 1481, from the noun.
experience:
1377, from O.Fr. experience, from L. experientia "knowledge gained by repeated trials," from experientem (nom. experiens), prp. of experiri "to try, test," from ex- "out of" + peritus "experienced, tested." The v. (1533) first meant "to test, try;" sense of "feel, undergo" first recorded (1588.***)
From the Online Etymology Dictionary
***Better late than never!