Davout had to accept the Bourbons as the legitimate government of France in 1814. That does not mean that he endorsed them and he certainly had definite problems with them because of the false charges brought against him by the Bourbons.
I sugges that you're cherry-picking material to support your ideas and that you are incorrect in your assessment of Davout and the Bourbons.
Have you read Gallagher's book? A little analysis here, as Gallagher definitely demonstrates, is in order on your part.