Totally agree. Many, many different types of intelligence. Most people incorrectly assume that verbal communication skills indicate intelligence in all areas of life. Lots of people can put together very sophisticated plans and execute complex tasks fast without being able to easily string two sentences together in a conversation.
qbs don't even have to make any plans, just listen to coaches. not really any problem solving is needed, i'd guess they just need to be good at memorizing, learning how to read and react, and not freak out under pressure. definitely not easy, but seems way more about effort and experience than intelligence.
I mean those terms in a way that is not quite so literal. I am saying that they need the cognitive power to understand a great many things very quickly. Lots of if-then statements.
I do believe that requires rapid planning (down and distance alternatives, audibles, etc.) and improvisation skills. Those are all types of thinking and types of intelligence.
Though, obviously you can compensate if you have very high abilities in other areas (e.g. arm strength, speed, agility, etc.).