Topic of best barrel maker is one I've overheard or participated in at range I'm a member a number of times. Gents I regularly shoot with have the inclination/money to fairly regularly have a rifle built or rebarreled. So, quite a variety of brand name barrels have been installed on my shooting buddies rifles. Hart, Kreiger, Criterion, Mcgallion?, Pac-Nor, Shilen, Walther and etc. Me, I've had decent success with Midway's low cost A&B barrels (now Green Mountain) and one Shaw savage replacement barrel for my lowly rifles. Hardly match grade barrels, but I'm not one to put a higher priced barrel on a 98 mauser action.
Basic consensus is you should get a pretty good barrel from any of the better know barrel makers. That it is difficult to say one is that much better than another. Last barrel conversation at range, one gent told of having a Hart barrel installed that just wouldn't shoot accurately and his gunsmith would return the barrel to Hart for replacement....another barrel from Hart solved accuracy problem with rifle. FWIW, my buddies lean toward buying a Shilen barrel.