Their only solution is not just reducing the deer herd.That's one component and by you saying that they only reduce the herd is a flat out lie.
The DCNR admits in the DMAP report that they don't have the resources to spray to control invasive species and therefore they rely on reducing the deer herd to ridiculously low DD so they can get the regeneration they prefer.
There are many species that do just fine under a closed canopy.It just so happens that oak isn't one of them.
And those species that survive under a closed canopy then become part of the competing vegetation that limits oak regeneration.