The secret ingredient that transforms banoffee pie

I have been labouring under a misapprehension for some time, perhaps my whole life. I thought that the ‘offe’ in ‘banoffee pie’ was a reference to the thick, gooey toffee layer that sits between the biscuit base and the cream. But no, the ‘offe’ has nothing to do with what is, in any event, really a caramel, but the coffee flavour that should be folded through the cream topping.