Rook hawk makes many good points, as well as Mr Peacock. I would add this. A Rigby Bolt gun is built on a Mauser 98 current production action. The current 15k model is the exact same gun as the 55k model only difference is wood grade, engraving, Case color, etc. Virtually the same gun. I am not all knowledgable but I would guess the same with WR. The only makers on that side of the pond that I know of that build absolutely every part of the rifle are Hartman Weiss, and Waffen Jung, but I'm sure there are others. If one wants to have a conversation about action quality as a base which Mr Peacock seems to sum up in his own way, lets talk about who builds the best action (as a production action) in the world. In comes Granite Mountain Arms IMO.
I will add this. While the craftsman or artist at WR, Rigby, HH, etc, are I'm sure great at what they do and following traditional methods and processes with modern machining enhancements as mentioned by Mr Peacock, there is still no substitute for an individual "Master" that literally hand makes the entire rifle with absolute obsession for perfection because he is putting his name on it. From what I understand that would be an in essence someone like Theo Jung or Hartman Weiss. Even all of these American Guild guys start with 2 components for the most part, an action, and a barrel, then they start their process. Seems the only thing you can compare it to is traditional art as most would think of it. I'm sure there are people you can teach to make a painting look like a Picasso, but it's still not a Picasso.
I have a friend that is a member American Custom Gunmakers Guild, the way I understand it is what we would consider an American Master Gunmaker builds very few pieces a year. Literally a few. In an article that I read about Fred Wells, his wife said he would "painstakingly build about 4 rifles a year". Duane Weibe, Smithson and Son, Buehler, Breeding, Heilmann, all the same to varying degrees. Seems for the most part an American would agree that engraving is simply an embellishment and the individual "artist" that does that is always sourced out. But the masters that are actually qualified to do the metal and wood from start to finish on a complete rifle are few and far between at the master level. I would venture a guess that WR, HH, Rigby and all the other "big names" in England or elsewhere are running what can only be considered somewhat of an assembly line of semi-production guns. Quite frankly it was probably the same way in England starting somewhere around the mid 1800's. The Business model on both our continents is very similar, not unique. There is a difference in market however. I wouldn't buy an American double rifle if my life depended on it LOL. We have guys that could build them but they don't because know one wants an American double rifle. And if we are being honest I have a crush on old English Doubles. Our market is millions of bolt action rifles in a myriad of fad calibers and hand loading components to keep us all intertwined with the industry and amused by all the gun writers, NRA, NSSF, Safari Club etc that are all bought and paid for by Titans of our firearms industry.
I have worked in the firearms industry in the USA for 20 years now, and this is not intended to sound like dickery,...but there is a reason all of these companies court the market here so intensely. I will not name who I work for but lets just say they are industry titans, many europeans. About 8 years ago I started to really question how it was possible that year after year after year I would still be selling millions of dollars worth of the same guns annually in a 2 state territory. Its like a bottomless well of demand here. Truly a gun culture like know where else in the world. If that ever changes politically I would guess that the financial ripple effect across the world will be impactful. Sorry for my digression, but my point is this. Out of this market has spawned a American Guild that IMO specializes in bolt action rifles. If I was a guy that wanted to spend a wad of cash on such a rifle simply because I wanted to, I would take a hard look at the guys that are risking all, including their pride in their own name, to produce a product that will allow them to sleep at night and relax their own obsession over perfection and a finished product that all they care is that it makes you happy and satisfied. In history the great artist of the different periods were probably pedaling their pieces for pennies to buy food, yet at some point they became priceless.
Sorry for this long diatribe. It's a hard and long winter here in the midwest USA, and business slows up a bit right before the show season. Even though the fella that started this thread has probably checked out 2 pages ago I frankly find this conversation so interesting. No doubt you gents know your business, and I personally like reading it and broadening my information base. If you've made it this far thanks for reading and hearing my thoughts on the matter.