Aesthetics isn't my area, but since no one else has responded I'll take a stab at it. To someone who thinks that aesthetic judgments can't be objectively true or false -- someone who thinks that aesthetic judgments are in that respect fundamentally subjective -- I'd pose two questions:
(1) We often seem to make objective aesthetic judgments, such as the judgments concerning Bach and Rihanna that you mentioned in your question; why not take those judgments at face value? Why think we have to interpret those judgments as non-objective?
(2) If there's a worry that aesthetic judgments can't be objectively true or false, does that worry extend to normative judgments in general, including the judgment that some ways of reasoning are better than others or that some ways of treating people are better than others? If it does, then it's a worry about objective normative judgments in general rather than aesthetic judgments in particular. If it doesn't, then what makes aesthetic judgments less likely to be objective than other kinds of normative judgment?