It was stated well above. The only thing I will say is, I have more confidence in my gunsmith dialing the barrel in to near zero runout and taking his time to do the job than I do the big prefit barrel factories that do everything with Cnc machines. The potential is there in both instances to go both directions though.
Most of us "smaller" shops making bespoke prefits are doing it to order and we're dialing in every barrel on the machines, CNC or not. My first CNC purchase was predicated on having a workholding solution to make sure that I could dial the barrel in at both ends. Some parts had to be custom made for the back end of the spindle, which I ended up making adaptations to and building for my subsequent CNC purchases as well, but the end result is that every single "prefit" that we do on our machines is 100% cut on a CNC and 100% of them are dialed in every time.
To the OP:
With regards to Bighorn/Zermatt action products. The receivers are closer in tolerance than the vast majority of gunsmiths using manual equipment will be able to discern apart. Half a thousandth in headspace isn't the issue at hand, it's the work that goes into the blank at the barrel making shop and the process control that went into the gunsmithing work, whether that was done on a manual machine the "traditional way" or done on a CNC.
What I will say, in defense of my use of CNC's for this work:
I've been cutting chambers and muzzles on CNC's exclusively for a little over 5 years and by my records, about 7100 chambers. In that time we've kept records on several critical factors in the chambering process and the concept that CNC lathes are substantially more rigid and repeatable as compared to the manual methods is hard fact. There's no doubt that the tighter repeatability and shape comes from a well setup, well programmed turning center. Yes, a good machinist can repeat sizes to half a thou or a little better on a manual lathe but tell the guy he needs to do that on every part all day long, every day.
What is clear though is that a CNC lathe, when properly setup, will cut barrel after barrel with repeatability numbers that will make a manual machinist pull their hair out. Case in point, I cut (4) 6mm BR-A's this morning. Two of them went to a close friend who asked me "is it possible to hold 2 headspaces within a thousandth or so because I want to put the same load in both barrels if possible." His two barrels ended up 0.0004" apart with no special work from me and all 4 of them fell within 1/2 a thousandth. The body tapers were all within spec and the same to the repeatability of a micron indicator on a ball.
In June we delivered a run of 40 barrels for a rifle company. Upon inspection they found that all 40 of them, in 2 different calibers, had a total headspace span of 0.0008" and every single PD measured within 7 tenths and cleanly cleared the Class 3 gauges for GO and NOGO. They spun into place, clocked the caliber markings correctly and the company assembled the rifles without any fitment issues. It took me 4 working days to take them from unturned blanks into finished parts with thread protectors, spun, lasered, and crated up for pickup.
CNC's in a small shop typically mean better quality work, not worse... though there are exceptions to every rule.