Cox, adamantly loyal to the preservation of the “older methods”, set himself in opposition to modern styles. In his 1917 book Concerning Painting: Considerations Theoretical and Historical, Cox restated his earlier feelings about the “Two Ways of Painting” saying:
For at least fourteen thousand years, then, from the time of the cavemen to our own day, painting has been an imitative art, and it seems likely that it will continue to be so. That it should, within a few years, entirely reverse its current, and should flow in the opposite direction for thousands of years to come seems highly improbable, not to say incredible. Yet we are gravely told that it is about to do this; that, at the hands of its representative element, reached its final and definite form, and that no further changes are possible. Henceforth, as long as men live in the world they are to be satisfied with a non-representative art — an art fundamentally different from that which they have known and practiced and enjoyed.