I don't get into these kinds of discussions with people anymore, because they're not socially palatable. I try to stay open minded too about perspectives that are not mine, and try to be objective about my own biases. But I can't shake the feeling that much as someone might validly prefer some abstract dot on a white canvas to the Sistine Chapel ceiling, who would more likely impress the fans of the other, that artis…
It's really not that anyone prefers an abstract dot on a white canvas over the Sistine Chapel. It helps to think of art as a historical dialogue with other art, as well as an exploration of how our senses experience the world. Minimalist abstract art (Ad Reinhardt is one of the more famous practitioners) was pushing viewers to pay attentions to subtleties and small differences in our perceptions of color and shapes.…
You probably should not "like" some of the best art at all, because it should have made you uncomfortable and think things you would rather not.
Of course I say "some", because art has all kinds of different purposes or intents, and that is only the purpose of some art, not all art.
So I think recognize, acknowledge, or appreciate are the kinds of words to apply rather than like.
And art can even be good even if you not only don't like it but don't even appreciate it. It can be skillfully effective on you whether or not you like it or even have the background or perception to recognize it's quality.
So even "appreciate" isn't really a valid metric.