Likening a game to a painting is just a false premise. Games are a unique medium that can in themselves hold lots of different things which inherently makes them hard to compare wholesale to other mediums. They can be similar to Chess in the sense of requiring strategy or a physical sport in that they can be almost entirely composed of the skill expression of the players. They can even hold paintings or novels in their entirety, or do something entirely unique that just can't be done in other mediums (my favorite example of that is Outer Wilds).