What was the point of repeating yourself? You didn't specify what those measurable things were. My point is, the term "IQ" should not be used if the test is unable to measure what its name implies. That's about it. The cultural bias in IQ tests has been widely documented. However, I must admit the usefulness of these tests by the U.S. Army and Marine Corps in decreasing fatality rates. It might be better to rename these tests though.
One thing it apparently measures decently well is how good of a beginner you are on a new random thing.
Honestly I too would appreciate a different name because too many people[0] see it as "Smart Elite Classifier Test".
wrt cultural biases it is the same issue, you would need to develop a different test for each new cultural context. I agree that biased test have been used wrongly.
Overral IQ has a serious public image problem as some of its most vocal supporters are also its worst enemies.