In most sports, we have clear rules about who is better at it. Let's say long jump. It's clear that a person with larger limbs (genetics) will have an advantage above one that has shorter limbs. How do we translate this in cognitive ability?

A person is more intelligent than other because they passed a test? because they can draw better? Everything is loosely defined.

We have widely-accepted manners in which to gauge intelligence. If you dispute them, that's another matter.

It's well-established that the measures show a genetic correlation.

If you were to find another measure of intelligence, besides the standard ones, we can use our experience and facts to surmise with a high confidence that those, too, would prove to be influenced by genetics.