Voter referendums have been the death of trapping and hunting opportunitues across this country. Horrible idea.
As far as voting for DNR commissioner/secretary, or whatever your state calls them, the only way that would be a good idea is if only licensed hunters, trappers, anglers were elegible to vote. General election would also be a horrible idea.
That might fly if the agency only managed fish and game, but our DNR in Wisconsin is a single agency that also includes forestry, air, water, soil, etc. Lots of stakeholders besides just hunters, trappers and anglers.
Though I do agree only licensed hunters, anglers and trappers should get to vote in our spring hearings that directly influence hunting, fishing and trapping regulations. Online voting for that was the worst thing to ever happen.