Incorrect, IQ is a composite measure correlated with fluid reasoning, crystallized knowledge, working memory, processing speed, and spatial ability. It's true that you can't naively use IQ to compare two diverse groups, but you can correct for this with a large enough sample of any two groups. This idea that it's biased towards western culture or education is vastly overblown.
This study found that adding or removing rewards for performing well can pretty dramatically impact performance.
"it is unclear to what extent the positive manifold reported in intelligence research since Spearman (1904) might be explained not through a shared component of intellectual capacity, but through a shared component of effort or time investment in testing tasks."
So, yes, we don't know, but the ways we don't know should also include "we don't know if iq testing is even measuring intelligence rather than stick-to-it-ness".
Also, NCBLA standardized testing has demonstrably ruined education in America.