Active Curiosity (AC), Open Curiosity (OC)

I would consider the example with a panel of many buttons still AC or concentrated since it is simply a continuation of the desire to understand the [particular] object.

I do, however, accept your description of OC as diffuse and exploratory: a series of AC questions in rapid succession.

I suppose on some level, all curiosity could be boiled down to a simple question, which by this post's definition is AC.

I find this description on point. I often go down what I call "weekend rabbit holes" where like Alice I may start out with a spark of active curiosity but then coast through a sea of topics, allowing one idea to lead me to the next, in autopilot. I also find the terms active and open appropriate, particularly open. Like allowing one mind to stand back and be ready to receive any and all.

I wonder how I could tap into this concept for leadership... To cultivate an environment where both types are nourished and directed fruitfully.