Where are you getting the .006" from?
From some used custom barrels I bought. I cut the threads off and re chambered. They were either take offs sold by a gunsmith(they would not shoot well) or an extra barrel that was chambered for an action, no longer in use.
Many guys are having their reamers ground with the freebore dia cut at .0003 over bullet dia, this is a new trend you don't hear much about. Typical custom reamers have .0005 over bullet dia., freebore dia.
Current thinking now is that full length sizing is the most accurate, and most, if not all, of the top shooters are doing some sort of full length sizing.
Mating dies and chambers is a can of worms. Factory chambers and a lot of custom chambers have MUCH more than .001 diametrical clearance in the web. This extra clearance helps eliminate the click at the top of the bolt lift. Also, in hunting rifles, .003 clearance on a loaded round and web dimension is not unusual at all to help in extraction. For example, 20 years ago, I had my 7 STW reamer ground .002 over brass dimension, this ended up being tight, too tight for regular full length sizers to work. So I had to order a small base sizer to get my brass back down to where it had good clearance due to spring back. 20 years later, advise is to order the reamer with a minimum of .003 clearance on new brass, and .004 would not be out of line, hunting rifles. Best to buy your full length sizer ahead of time and get some measurements so you do not get stuck with an expensive bill in having a custom full length sizer made.
Biged, a chamber that is not in alignment with the bore will cause the condition you see on that scraped bullet, also. The chamber would also have to be pretty sloppy. We assume that the chambers are in alignment with the bore, and only in the best of custom barrels we see machined by world class gunsmiths is this true. In sloppy chambers, the ejector can push a case off and give indications like biged has shown. In these sloppy chambers, a neck sized case or a shoulder bumped case may give better accuracy, but it is trial and error. As biged has shown, turned necks help in alignment. When neck sizing, I have found that if your bolt closes easy on one case then a tad harder on another case, you are going to get flyers, this is where shoulder bumping improved group sizes in factory hunting rifles. Shoulder bumping is not were near the level of alignment that is described by biged in his post above.
Getting a bullet started in the throat perfectly straight is our goal, and there is a lot of rabbits to chase getting to this point.
Dealing with factory rifle chamber dimensions can be a much different approach than dealing with custom bench rest and long range custom rifles. Learn the basics on alignment, and apply those basic principals to your situation, best you can. You will learn from the compromises you are often forced to make.