So, I think Dutch spent the entirety of the game in a state of not thinking clearly, not making his best decisions, and he only got more despondant and desperate as time went on.
Interestingly enough; I still believe the only reason Dutch actually abandons Arthur is because of his Tuberculosis. Dutch still shows high levels of concern for Arthur throughout the story, and I never felt like Dutch had completely abandoned Arthur, even after Eagle Flies. Arthur merely replaced Hosea as the primary "second guesser" and Dutch likely couldn't take it anymore. Again, as Early as Horseshoe Overlook, Dutch is rambling about doubters and his hatred of Hoseas constant questioning. The tone between the two of them is very often depcited similar to the Gettes, in that, on the surface they're happy, good friends, and nothing will seperate them. Deep down however, Dutch hates Hoseas doubtful nature and Hosea hates that he might have been conned by Dutch into believing all of his malarkey.