Yes, for significant linguistic universals exist and all linguistic universals are cultural universals.
4) Expecting to find cultural universals would be like expecting to find linguistic universals, where the most obvious observable fact about languages is that they are different from each other.
Linguistic universals are good candidates for being cultural universals, and looking for linguistic universals at the superficial level (directly observable aspects of sound, form, and meaning) is not explanatorily fruitful.
Since there are linguistic universals that aren't explanatorily trivial, there are cultural universals that aren't explanatorily trivial.
In the end it is the cultural-character of linguistic universals that keeps them from being reduced to non-cultural underlying biological phenomena.
Many linguistic universals are like this too, conditional, which by no means impugns them.
15) Well, the same kinds of objections that could be raised about the cultural-character of linguistic universals can be raised about the cultural-character of these musical universals.