Aesthetics and Entertainment can never to intersect.
Lets say your entertainment is experienced from an Amusement park, this park provides entertainment because that is what it is made for. Art however, can entertain but that is not the reason why the art is made. Entertainment/pleasure takes no understanding which makes the difference between the enjoyment in art and the enjoyment in entertainment. Entertainment is induced pleasure of what you seem to like on a repetitive level. For art, there is a neccesary process of connecting/linking which is not logically or conceptually linkable.
If aesthetics and entertainment dont link, then art and entertainment can't.