Even though we call taste subjective because it varies from person to person it is an objective phenomena in the same sense that only one individual directly perceives pain.  A person experiencing pain has an open wound, an inflammation, ache, pinched nerve, etc.  When the source of the pain is located another person, a nurse, can verify that the pain experienced by the first person is in a causal relationship with the observed injury and take measures to alleviate the suffering.  This shows the subjective state of pain as having an objective status.  Time fluctuates, speeds up and slows down as the brain focuses in and out of attention, a subjective state, yet we call time objective.  A sufficiently articulate person can give reasons for what he likes and what he finds annoying.  He will also be able to give an account of development of his taste as an educational adventure.