Calculate how much hydrogen is in the bananas, allow for loss of hydrogen during the ‘destruction of the banana as it reverts to basic unit construction, then look at how little hydrogen would be left to ‘light up like a star’. I seriously doubt that the mass of bananas named would yield sufficient unit hydrogen to light up star fusion.
Bananas are mostly starch (C6H10O5) and sucrose (C12H22O11). The fats contain glycerol (C3H5OH3), and the other components contain potassium nitrogen, iron, zinc, chlorine, and trace quantities of a few other elements.
The core tempreature is sufficent to generate nucleosynthesis. This leads to the Carbon Nitrogen Oxygen chain, which increases fusion of helium and raises the temperature. If it gets hot enough, the model has to account for carbon fusion. I suspect that Dr Hawking, et al., have never contemplated this eventuality.