Those MKII's were the best Lee Enfields, as a group, that ever came in. I was able to buy several that were out of the wrap, and one in the wrap. The local gun store had the new in the factory mummy wrap ones for $200.00 each. Easily twice the price of one out of the wrap. I am glad I got mine, because they were all sold within seven days. I kept my mummy wrap rifle, in the mummy wrap, and I heard current prices are ridiculous.
Based on your pictures, I would say yours was one of those that came in the mummy wrap. They were new. Proof tested and wrapped up till they arrived in the US. The importer had to cut the mummy wrap at the muzzle to stamp the importer mark, but other than that, they were new in the wrap.
These were the best made Lee Enfields that I came across. I never saw any original WW1 era Austrailian or British No 1 MKIII's, heard wonderful things about those. I did pick up what I think are the next best versions, which were new Long Branch No 4's. Those were still war time rifles and showed haste in chambering, sights, etc. Your MKII is to commercial standards in terms of fit and finish.