Considering the harsh winters we are having recently and the high predator numbers we are experiencing, I'd say less is a good thing right now. Whether hunters can contribute to that decline in any meaningful way is the real question. Best case scenario is that heavy hunting pressure will at least temporarily reduce numbers at a time when ungulates could really benefit from it. Worse case scenario is that it has no effect or in some isolated populations actually causes an increase in predators.
Well, that's the thing, isn't it. Most reduction efforts are temporary at best, and depending on the predator-prey dynamic in your particular area, it may or may not be useful. The underlying premise that killing predators is invariably a good thing simply because they "kill my deer" is a terrifically naive view.