Good points, but to be fair, many of those things wouldn't comfortably fit the classical concept of thinking. IMO
if we define "thinking" narrowly as pondering, analyzing, or ruminating, evaluating, and contemplating—then visualizing something without engaging with it intellectually might seem like a separate act. It could fall more under mental imagery or memory recall, depending on context.
Merriam-Webster defines thinking as “the action of using one's mind to produce thoughts”.
But that's where it gets interesting: What does one consider a thought. To me it means pondering, evaluating, ruminating, reflecting, contemplating, etc... It is an active engagement with something. For example:
I could imagine a red apple in my mind (Nothing more). That's what I would consider passive visualization. It is simply memory recall in the analytical sense. It's more like a mental snapshot. However, active visualization would be if I have thoughts about the apple, like if I am wondering about the taste, or what variety it is. Then I have crossed into thinking territory because now I am engaging with the image cognitively.
As for procedural memory, such as dribbling a basketball, hitting a baseball, etc..., much of that is handled by the subconscious, and therefore below the level of consciousness, however, I do think some things are shared between the two. Maybe I'm going to hit this pitch, but I want to make sure goes to left field so the runner going from first to second has a better chance, so I open my stance a bit. My hand to eye coordination, muscle memory, grip, etc... are handled by the subconscious, and my timing (Staying ahead of the pitch) are calculated using conscious processes.
Anyway, I think some thinking or thoughts may fall into a gray area (Pun intended). One might even call it the cognitive subconscious. For me, thinking involves an active mental engagement with something, more than just mental imagery. But that's just me.