It looks like your rifle has a "high hump" handguard, which was standard from about 1910-1919, and so ostensibly wouldn't be correct for a 1941-produced Remington. I've read that Remington, since it used old Rock Island production machinery, reverted to the "high hump" style. On the other hand, I have a 1942-produced Remington M1903 with a full pistol grip stock and a non-hump handguard. So this doesn't prove anything, but to me, the "high hump" handguard does raise some questions about the gun's originality.
Well here's my take on it; since I know about the gun, its history of ownership and what it is; also since I am not trying to sell it or get it appraised I really don't have to prove it's worth or originality to anyone. What anyone else "feels or believes" about if it is original was not the question I asked in my post but "Should I shoot it or not"? Thanks anyway for your opinion.