What don't you agree with? The fact you can't carry a firearm during these hunts or the fact that DWR doesn't have authority to regulate firearms?
Big Game Proclamation page 40:
"Temporary game preserves are any area in Utah where a bull elk, buck pronghorn, moose, bison, bighorn sheep or Rocky Mountain goat hunt is taking place. In addition, all limited-entry buck deer areas and CWMUs in Utah are considered temporary game preserves while hunts are taking place on them. If you do not have a valid permit to hunt on a temporary game preserve, you may not carry a firearm or archery equipment in the field while a hunt is taking place."
I don't know how it could be more clear than that. If one of these hunts is going on, DWR says you can't carry a firearm in the field. There is an exception if you have a concealed firearms permit, but it's intended for personal protections, not for hunting other animals. If you're coyote hunting in someone LE archery area, DWR can and will charge you.
But here's Utah's Uniform Firearms law:
"Unless specifically authorized by the Legislature by statute, a local authority or state entity may not enact, establish, or enforce any ordinance, regulation, rule, or policy pertaining to firearms that in any way inhibits or restricts the possession or use of firearms on either public or private property."
The legislature HAS NOT granted DWR authority to regulate firearms. As such, these *rules* are contrary to state law, yet they are still in place.