I see no value in prefixing "general" to "intelligence." What's the alternative? Specific intelligence? What does that even mean? I favor a multitude of scales, separating skills like mathematics, 3D visualization, language .... over a single metric.

It is worth noting though that the single metric has fairly robust predictive value. People who are good at one kind of problem-solving tend to be good at others.

Though it cuts fine. I'm a very good programmer but when it comes to parsing strings I am a complete idiot.

Culture example: where European cultures favor a logical approach to discourse, African ones favor a discursive (storytelling) approach. This is a disadvantage on intelligence tests, which tend to be logic-based.