The arguments I heard against it was that on Sundays, hikers and non hunters could enjoy the woods without fear of being shot....
Well someone could make that argument regarding public land where hunting is allowed but it does nothing to explain why it's kosher to tell a private land owner that he can't hunt his own land on Sundays. I don't see how these laws could stand up to a constitutional challenge in court. They are a clear case of using the law to force a religious belief on others. Even here in Alabama (Heart of the Bible belt) most of the blue laws about alcohol sales on Sunday are fading away. A no hunt ban on Sunday would never pass here.
Well, a lot of those people opposed to Sunday Hunting were land owners as well as Church goers. One guy in particular is a neighbor of mine. He's a great guy, gave me permission to hunt on his property and fish in his bass pond. His comment to me was that bullets know no boundaries and he reserves his property for his grand children to use on Sundays for hiking and scouting.