Clearly in the Finnish culture and tradition shooting accuracy is a virtue, and in their military tactics and terrain an advantage over simply massed firepower. Hence they developed a more accurate version of a rifle cost effectively available in their world, via purchase and via acquisition by warfare.
In combat apparently the majority of Finn soldiers were armed with the M91s, however they did modify them for better accuracy including shims. Not all Finn rifles have shims, but many of all types do. Mine did and if you have one that shoots well, and you can avoid taking it out of the stock, that would be my recommendation.
Used rifles with dinged up stocks have character and may well have seen combat. Mine came unissued and at the time there were a large number of unissued or excellent rifles available. Some people believe like Dean did at DGR (well known gun restorer and seller of M1 Garands), "life's too short to shoot an ugly gun". I like that philosophy, but also I'll take any rifle that shoots well.
I have a lot of fun shooting it, and have never attempted reload development or optimization of load for accuracy. Now since 7.62x54R is no longer dirt cheap or surplus plentiful, that may be my next project. The various Finn rifles will shoot various diameter bullets (.308, .310. .311 etc), and people recommend slugging the bore for reloading accuracy. I doubt I will need to resort to that to find a bullet and accurate load in my M39.
Here is a great link if you haven't found it yet, plenty of great information here, the Finnish area of the Mosin Nagant web site,
Mosin Nagant Site, and another good one,
7.62x54R Site, the M39 area of the 7.62x54R web site.