How do you compare “one’s wish is to do something” and “One’s wish is doing something”?
I can’t see any difference between “His wish is to be a fighter jet pilot” and “His wish is to be a fighter jet
pilot”.
The critical difference is that wish, both verb and noun, licenses infinitival complements but does not license gerund complements: ok
I wish to go.
I wish the sky was falling always.
He has a wish: His wish is being.
In idiomatic terms, it doesn’t translate.