I think there's another set of questions here -- why is "blue-green family" a thing in your mind, rather than "blue-yellow family"? Is there a "red-blue family"? "Orange-blue"?
Also, yellow-blue and red-green are opponents that can't be mixed because of how our retinas preprocess the signals from cones. Therefore, you obviously end up with blue-green (cyan), red-yellow (orange), yellow-green (lime) and blue-red (magenta, which actually doesn't exist on the light spectrum) families of related colors.
Russian speakers broadly consider sky blue / turquoise / cyan a distinct color right between green and blue
https://en.wikipedia.org/wiki/Blue%E2%80%93green_distinction...
Although the question "is the color distinct and basic or just a shade?" is very subjective. Is pink distinct or a shade of red/purple? Is purple distinct or a shade of red/blue? Is green distinct or a shade of blue? (it's well-known that in Japanese green separated from blue only relatively recently, with very bluish traffic lights and other quirks included)