Keep the thickness even across even if it leaves it looking twisted. There is a HUGE difference between:-
1. A bow with twist that draws true and straight (my fave' bow is called "Twister"
http://www.primitivearcher.com/smf/index.php/topic,28324.0.html )
and...
2. A bow with no twist unstrung, but twists (or tries to bend sideways) as it is drawn.
Having one edge thinner than the other is a recipe for number option 2.
If the back is a continuous ring, you adjust the belly to maintain even thickness, of course there are cases where for some reason this won't work or you have to make a compromise. If you have ring violation running along the bow that's not so bad. Sometimes there are several ways to tackle a problem, sometimes all or none are good, and often it's a little of option A with a little of option B,,, it's called "experience"... enjoy
You can use heat to take out the twist if you want to.
Have a shufti at this post in my blog
http://bowyersdiary.blogspot.co.uk/search?q=dealing+with+the+dipDel
BTW the bug marks under the bark look like Dutch Elm disease to me, first Elm bow I ever made was like that, I went down a few rings and it was ok.