if conceptual thinking is manipulating abstract concepts after having been given concrete particulars, I'd say it relies heavily upon projection, which, as generalised "K" (from SKI), sounds awfully like calculation.
Here is why I think Gibson could in principle still be right (without necessarily summoning religious feelings)
[if we disregard that he said "concepts are key" -- though we can be yet more charitable and assume that he doesn't accept (median) human-level intelligence as the final boss]
Para-doxxing ">" Under-standing
(I haven't thought this through, just vibe-calculating, as it were, having pondered the necessity of concrete particulars for a split-second)
(More on that "sophistiKated" aspect of "projeKtion": turns out not to be as idiosynKratic as I'd presumed, but I traded bandwidth for immediacy here, so I'll let GP explain why that's interesting, if he indeed finds it is :)
Wolfram (selfstyled heir to Leibniz/Galois) seems to be serving himself a fronthanded compliment: