Trouble with center fire rifles on gophers is the noise they make. Not making you welcome in most places. Hard enough getting a place to knock a few off without alerting everyone around for 2 kms.
No issues with using a centerfire where I shoot them. I sniped a couple of dozen with the 17Hornet yesterday. I just park the vehicle, and sit next to it with a bipod on the rifle, and they ignore us as long as we are 150 yards or more away.