I understand what the poster is trying to suggest but it's still not normalizing the right things.
Children with "bigger brains" perform better because they've matured faster and have better executive control than their peers.
That's why you can strongly correlate childhood academic performance on birth month. The ones that do better don't have "larger" brains as adults.
If you take people with equal economic opportunities and the same social advantages, you cannot stratify that population based on brain mass and correlate it with anything meaningful.
Besides, if this was true then, say the staff at MIT would be NBA sized giants working their big brains and little persons would all have severe cognitive impairments. None of this is the case.
Even on strict IQ, which is what these people like to use, it still doesn't work. The highest IQ scorers are normal sized, normal shaped people. They aren't walking around with giant deformed skulls
The logical implications of the hypothesis simply don't exist and every study I've seen that tries to demonstrate it gets criticized as actually just showing a proxy measurement for things like nutrition, age, economic status, etc
It's also why the phenomena only appears in large population studies. Taller people, on average, grew up with more advantages and access to resources which is why they're taller. As a population, they will do better then their disadvantaged peers. Duh.