I have heard others on BYC indicate that the thinner gauge 1/4” HWC can be chewed through or breached by some animals, but I do not know this for sure. But, 1/4” will exclude pretty much everything. But, 1/2” should be a thicker gauge, so more durable, and will exclude pretty much everything except juvenile mice ...not sure about juvenile rats.
I posted this a few days back it may help. Raccoons are able to penetrate 1/4" HC, they visited and will be back. You need to significantly upgrade your coop.
"There is a significant difference in size/strength between 1/4" 23 gauge vs 1/2" 19 gauge HC. 19 gauge is .036 inches diameter, 23 gauge is .023 inches diameter so ~64.% of 19 gauge. As a practical example a racoon is able to break through 23 gauge but not 19.
In choosing HC one should define the predators/pest they want to deter. Obviously 1/4" will deter some smaller pests that 1/2" will not; while there is some debate research says the 1/2" (12.7mm) will deter adult mice.
Also remember that thinner wire will deteriorate more quickly so replacement will be required soon.
Most references on BYC seem to use 1/2" HC."