As long as the valve depths are within specs, you can resurface the heads.
Eg: If after the heads are resurfaced, the valves depths are not deep enough, you will have to recut all the seats again to get them back to within specs. (and whatever they remove from the seats to get back to the right depth should be removed from the end of the valve stems to keep the valvestem/rockerarms/lifter geometry correct.)
Unless the head thickness is too thin...
But I think most shops are scared that if they remove say 0.010" off the heads, and you use victor reinz head gaskets, (which are not as thick as ford head gaskets) you will have piston/valve contact.