Very nice looking rifle...now have fun shooting it!
If you like shooting it, and it shoots to its potential, a new-to-you stock might be more correct, but may also fit your rifle poorly with not much that you could do about it - especially if the inletting is worn and tired. Would certainly bump the dollar value, but would you enjoy it any more or less if it shot better or worse but had a "correct" stock?
The nice thing about these rifles, is a Remington stock on a SC isn't all that "far-fetched-incorrect". These would have been serviced in the most appalling conditions during war time - if the original correct stock on your SC was damaged, and there was a Remington with an otherwise ok stock...they would certainly have put your SC in that Remington stock to keep it in the fight!
My young kids and I have a favorite past time of inventing stories to account for every ding, scratch, or mix-matched part on my parts queens. I love it! (although some are more believable than others)

You'll find exponentially less trolling in this forum than on others - which I suppose could give the impression of being quiet. This kind of quiet is exactly why many like it here.