I have a 12 gauge SxS CVA shotgun made from a kit. THe wood and fit are terrible, and the action leaves much to be desired. But they do shoot. I had to do some tuning of the locks, and had to bend the sear bar on one trigger to get it to fire properly, but the gun fires reliably, now. Most of the trouble arose from the indifferent inletting of the locks by the factory. Once I figured out why the darn thing was not working correctly, the fixes were not so hard to do.
Conversely, I have never been impressed with the factory built CVA shotguns. If you are willing, and able, to do some work on the gun to fix the problems, they can be good shooters. If you will have to pay someone to do this work for you, take that into consideration when negotiating a price.