Earlier quoted context omitted.
It’s not bullshit to notice that a bunch of different abilities tend to be highly correlated. That’s all g is. What is bullshit is the formal theory of multiple intelligences, which is largely PC-inspired pseudoscience and does not account for the correlation between separate areas.
Athletic ability (real time kinetic intelligence) and math ability are highly correlated? A car's speed and its ability to drive off-road are highly correlated? Rocket thrust and specific impulse are highly correlated? (Hint: these are inversely correlated.) I didn't come to this through PC. I came to it through a basic understanding of learning and optimization.
There are some direct biological 'g' factors that you can think of. One would be sleep quality, another brain volume. Also, brain damage events like concussions, and probably anesthesia, affect both athletic and mathematical performance. Thus, you should also expect there to be kinds of genetic and congenital developmental deficiencies that do the same.
Looking at relationships of reaction time/IQ as well as target practice/ASVAB score, they have a stronger relationship at the low end of the spectrum. Among kids in the 90% decile, you shouldn't see much of a relationship! They've got low difference in 'g' factor, I guess. But if you go down to the 20-50% range, you get, to increasing degrees, all those malcoordinated kids on the playground who seem like they were born with a pre-concussed brain.
Obviously, parental mating patterns affect some of the overall correlation, but the way the relationship is stronger at the lower end indicates the presence of true 'g' factors.