... Don't tell me what's great. (Hat tip, Dave Lull.)
But I do beg to differ: Great works of art do not exist "only subjectively." Nothing does. If there is a subject, there must also be an object. "Existence," one might say, is grounded in the relation between the two. Moreover, I would say that the uplifting qualities attributed to, say, Bach's B-minor Mass are inherent in the work, precisely because it "was designed that way."