Are Shakespeare’s ‘The Tempest’ and ‘Othello really about race?

How does Shakespeare use race and gender to enable conversations about society, about identity?
Talk about intersectionality. Gender and race mixed up. Class?
Attempted rape by Caliban make it about gender

Ariel – ambiguous in gender terms.

Deliberately imports gender to complicate race and race to complicate gender.

Differently read by different people, different audiences

Intersectionality
Political identities
Is it distinctly about one or does he care about both?

Which one is he more fussed about – is it possible to ascertain?