I think the "reduce the herd" approach is a mistake.
The idea is that if there are few deer, far apart, that the disease will be less likely to spread or at least slow the spread. It disregards the assertion that prions might persist in the soil. AND that deer will travel a long way to breed if no partners are available locally. SO by thinning the herd, you might accidently cause infected bucks to travel further to breed, thus spreading the disease further, faster.
A more compelling argument is natural immunity. If there are 100 deer and say 1% have either natural or developed immunity, then you have ONE deer that can pass that immunity along to its offspring. With heavy culling, there is a good chance that the resistant/immune deer gets removed and cannot pass on the resistance to its offspring.
If nature is allowed to take its course, resistance to CWD will become a dominant trait in the deer herd. IF all the resistant deer are accidentally culled under the the current "kill them all" management plan, its possible that they will actually remove any natural immunity from the herd.