Oak Wilt is so devistating, I don't see any reason to put trees at risk to prune some dead limbs, unless there is a safety issue, then carefully prune and paint all wounds.
Although deadwood trimming should not open the vascular system of the tree, it often does. Suckers can get broken off, dead limbs can impact live limbs on the way down ropes can get snagged, the climber himself can bump limbs. Another thing that is possible, is opening the vascular system while removing a limb that is almost dead, but still green close to the trunk.
I am in an area where Oak Wilt is all around. Many of the infection centers can be traced to improper pruning.
Did you ever think you could spread Wilt by cutting a tree down? I argue it can happen. I spray paint stumps after removing an Oak in close proximity to others.
With so much at risk, wait until the weather is cold, once insect activity is over.