Especially in eastern states, the loss of the Open Fields Doctrine would essentially remove the ability to enforce game laws on private property. Unlike out west, the vast majority of the land is private and the vast majority of wildlife lives on that private land. The inability to effectively police private property when needed would be a massive detriment to the wildlife resource that the state is obligated to protect. Many don't realize that a search warrant is harder to obtain than they see on TV. Any good judge sees probable cause as a high bar, as it is intended. Needing a warrant to step on 90%+ of the dirt in the state is an unnecessary hamstringing that the resource will ultimately pay for.
If that's what the people want and what law of the land becomes, so be it. Conservation law enforcement will adapt accordingly and do they best they can. However, you'd have to be blind to not see the reason convicted poachers are usually the ones pushing this agenda.