Intelligence is actually extremely general and transferrable - IQ measures meta skills and ability that predicts success in a plethora of areas.
If you don’t believe in IQ consider agency and conscientiousness
Statistically yes but we need to look at the actual distribution and I doubt it’s just a handful of outliers.
No, stupidity is very general. The statistical association between different areas of ability, which is reified in the concept of IQ, is because people who are bad at one thing are bad at everything. The Stanford-Binet test was developed as a way to measure mental disability, not giftedness.
(Einstein would have had an unexceptional score on an IQ test, had he ever taken one. His schoolteachers thought him destined for failure.)
To put it another way, polymaths are unusual but idiots are everywhere. And people who are outstandingly good at say, computer engineering can be mediocre at philosophy or business administration.
Psychometrists distiguish between crystallized and fluid intelligence. Expertise is a combination of knowledge and ability. But ability itself is multifaceted, and raw talent goes untapped without the motivation to study and the opportunity to work.
For most areas of human endeavor, being smart enough is all that is required. Being a genius helped Albert Einstein reimagine physics, but did not make him a better patent clerk.