Algorithmic thinking may be a useful skill but in my experience, there are down sides. Many (not all) programmers are rigid in their thinking; yes they can solve problems logically but sometimes this obstructs other ways of thinking.

Ever since I learned programming, I've found that the more I write code, the harder it is to get in the flow of other tasks that require a loose, less rigid mind set (sports, dancing, writing, music, business). So now I deliberately do things to balance these mind sets.