Discussing personal preferences makes not much sense. They can coexist and both be valid. One person likes blue and the other red.
But in terms of objectiveness, there is only one truth that can be reached.
It is an objective fact that one person likes blue and the other red, this is not meaningless, though of course it’s unfortunate to forget about a person-reference in such judgements. Person-1 likes blue, person-2 likes red, the “likes” takes two arguments. Both judgements coexist and express personal preference, it makes sense to discuss them. It’s an error to confuse person-references and equivocate between the judgement that person-1 likes blue and the judgement that person-2 likes blue, as these are different judgements, truth of one of them doesn’t in general imply truth of the other, though it might serve as weak evidence.
It is an objective fact that one person likes blue and the other red, this is not meaningless, though of course it’s unfortunate to forget about a person-reference in such judgements. Person-1 likes blue, person-2 likes red, the “likes” takes two arguments. Both judgements coexist and express personal preference, it makes sense to discuss them. It’s an error to confuse person-references and equivocate between the judgement that person-1 likes blue and the judgement that person-2 likes blue, as these are different judgements, truth of one of them doesn’t in general imply truth of the other, though it might serve as weak evidence.