He neither thinks nor fights (he coaches!), but is both a coward and a fool.

You sure he's not a coward and a fool?

He's not thinking or fighting either. So I guess we're good?

A human being should be able to change a diaper, plan an invasion, butcher a hog, conn a ship, design a building, write a sonnet, balance accounts, build a wall, set a bone, comfort the dying, take orders, give orders, cooperate, act alone, solve equations, analyze a new problem, pitch manure, program a computer, cook a tasty meal, fight efficiently, die gallantly. Specialization is for insects.

-Robert A. Heinlein

I think you overcorrected there a bit

Thinking isn't a specialty, nor is strength

They are qualities that can be possessed by the same person