It seems to me that certain aspects of a person are very malleable, taste being one of them. But many other things apparently are not (IQ, or various other measures of 'intelligence', if I recall correctly).
From my experience in the social sciences, we tend to underestimate the role of genetics more often than not.
On the other hand, when a child displays an initial dislike for like Taylor Swift, her friends might say "you're crazy, Taylor Swift is awesome."
It's all just neural networks being reinforced or inhibited, the primary contribution of genetics is the default state of the network. In the case "fixed" personality characteristics, our culture is to reinforce the default networks, while for things we view as mutable, we have no qualms about training away default behavior.
And I suspect that the genetics does also set a limit as to how far one can bend, too. This too, will vary between persons.
This pattern is observed all the time for tastes. We have genetically predetermined preferences, but overwhelmingly what we end up liking is the result of social conditioning.