Children are definitely quicker, and in my experience with Chess... tactics are king. And tactics favor the quicker minds. Strategic chess can be taught with words, and adults will naturally lean towards the strategic parts. We respect our predecessors, we seek knowledge that has already been discovered. Alas, heuristics and such aren't worth very much to a Chess beginner, who will regularly make "simple blunders" (l…
Think like a Grandmaster is a great book that illustrates how tactical chess analysis is -- all about iteration and composition of simple value judgements.
However, I have found books about chess strategy to be a very useful way to practise tactical thinking. For example, following the thematic sections in Think like a Grandmaster, or something like Bobby Fischer's analysis of his most memorable games (which both cover strategic concepts like two bishops or a strong centre) requires tactical analysis -- you're visualising moves and combinations in your head and making value judgements about positions just to follow along.
So strategy is a great way for an older player to keep tactical practice interesting!