That looks familiar...
http://www.smith-sights.com/article-accurizing-mosin-nagant.php
Independent discovery?
I did away with the full-length cork by Part II because it lead to barrel overheating. Cork is a really excellent insulator.
The shim I now use is as narrow as possible. On the 91/30 stock it's still cork, but on the T53 stock it's brass, which conducts heat.
The idea is to allow airflow around the barrel. You'll have less time between strings and longer strings to boot, before you start shooting in circles and have to let the barrel cool.
If you're not going to shim the action, you're going to have way too much upward pressure on the barrel, uneven pressure, greater at the receiver end of the barrel than at the muzzle end. This will stress your stock and cause all sorts of precision problems.
If the rifle doesn't shoot under 6" at 100 yards without work, chances are it's not worth the mods. The Russians had a precision standard for four rounds. It was five or six inches for the 91/30 and four inches for the snipers.
Of course, the Finns showed that proper bedding could bring it down to 2-3" on an otherwise badly shooting rifle.
In my opinion, you need to inlet it first, then shoot it, then add barrel bedding and action shims (as a set, to keep equal pressure along the barrel).
Only then move on to the more advanced stuff. But man, do the inletting first, then shoot.
The data for the article I referenced was gathered over the course of a year, and of course was
not thrown together all at once.
Josh