It claims a banana isn't technically living, but a banana has living cells so I'm not sure how accurate that is. I'm not sure when they're all considered 'dead' after harvesting though - maybe some wiggle room there.
I think the banana was mostly added as a joke: https://en.wikipedia.org/wiki/Fiducial_marker#%22Banana_for_...
My understanding is that picked fruits and veg are still alive [1], and often respirating [2]. This is a big component in figuring out how to refrigerate them at the optimal temperatures and atmospheric makeup.
1. https://healthland.time.com/2013/06/21/theyre-alive-harveste... 2. https://agriculture.institute/food-chemistry-and-physiology/...