nathan, sorry I do not mean to hijack your posting "but" you asked a "loaded" question that deserves an answer.
The Enfield rifle design has only one bedding screw holding the fore stock in place, the rear of the fore stock is called the draws area and wedges and pushes the stock to the rear. The rear draws area acts like the missing second bedding screw and if it is loose accuracy will suffer.
I have chronologically gifted eyesight so shooting the No.1 Enfield is near impossible for me so the No.4 with its aperture or peep sight is "FAR" more accurate for "me". Bottom line people with younger eyes and no visual problems "may" be able to shoot the barrel mounted sights of the No.1 Enfield better but I'm not one of them.
If your stock has dried out from lack of "RAW" linseed oil the fore stock will be "LOOSE" and you accuracy will suffer. Asking "WHICH" number Enfield rifle is more accurate will depend on your "eyes" and how "tight" the fore stock is and how it controls barrel vibrations.
If you can fit a feeler gauge between the rear of the fore stock and the receiver socket you have wood shrinkage and possible bedding problems.
Below is the draws area and the draws with the white arrows is where you shim the draws to "tighten up the stock by pushing the stock to the rear and into hard contact with the receiver socket (red arrows).
A humorous Australian once told me the rear of the fore stock should be tight as buggery.
(see red arrow contact points)
Both the No.1 and the No.4 Enfield should be touching the shaded area I have marked below, it does not have to be 100% contact "BUT" it should be touching equally on both sides with the barrel centered in the barrel channel.