On the other hand, there are news reports of people slipping on banana peels and sustaining injuries:
Slips on Banana Peel, Killed. Jacob Bopp, a chauffeur of No. 1137 Willoughby Avenue, Brooklyn, slipped on a banana peel yesterday and died withing a few minutes of a fracture of the skull. - The Evening World, October 30, 1917, Final Edition, page 12
One complication is that the type of banana popular today is the Cavendish, but prior to the 1950s it was the Big Mike, and it's possible the change to the Cavendish could have significantly reduced the danger of slipping on a peel.