I think you're right. (Did some ChatGPTing, and found this one holds).
But still, I don't believe IQ alone can improve your reasoning capability, could it? Like with proper education, and knowledge, a person with average IQ would more likely be able to see the correct patterns, and connections between ideas, than a high IQ person without the required education would.
It's like - having the proper education, trumps the meaning of having a high IQ. But, it's true, given the similar environment, I'd assume, the high IQ person would do better.