That's a valid way to look at it, but Fisher (who all but invented hypothesis testing) took a different perspective. To him, most things we know because of informal experiences. Only when trying to find small effects or when we have insufficient experience do we conduct experiments, which are effectively experience meticulously planned in advance.

A significant result in an experiment, according to Fisher, is just an experience to add to the mental pros-and-cons list. It is not defintive proof of anything.