Two piece stocks have their own issues, but they can be overcome with design changes
I'll give you an example of firearms which are extremely accurate, when in VG or better condition over all.
Martini rifles, all models. Most Drillings, Lebel M1886, many lever action types and others, etc.
Ruger No1 rifles, of which I've owned many, can be hit and miss, depending on the rigidity of the fore end hanger and the quality of the barrels.
I've owned and shot several Mas36, French bolt action rifles and all of them were accurate.
The bedding areas of Lee Enfield actions are "to small" IMHO, If I were going to make any changes to an existing Lee Enfield action, I would have added a forward recoil lug.
Just for something to occupy a week end, just after retiring, I took a previously butchered No1 MkIII* action and made up a recoil lug to fit over the King Screw stud.
It was a quick and simple job, which press fit over the stud in a similar manner as the pillar, which doesn't provide any recoil protection.
The only other thing I had to do was carve out a channel in the sporter fore end I had on hand and instead of permanently attaching the "recoil lug" to the receiver, I glass bedded it into the fore end.
This may not seem like much, but I also glass bedded the ways and happily, it all worked better than I expected.
One of the reasons this barreled receiver was in the bin, was noted on the tag, "won't shoot accurately"
It most certainly wasn't turned into a "tack driver" but it did start responding to different hand loads and shot most commercial loads into 2-3 inches, some less. Most handloads shot appx +/-2 in.
The accuracy was a surprise side effect and I wasn't expecting it. I ended up shooting at least 500 surplus rounds and another 500 handloads/commercial rounds through it.
The thing I was most concerned about was the "bedding"
There was no wiggle or flex in the fore end that would cause any issues after a thousand rounds. When the cleaning, lube, etc were done and the rifle reassembled, nothing changed accuracy wise, or in any other way. NO Surprises, no unexplained flyers over the next couple of hundred rounds.
My next-door neighbor has a son, who's now a grown man with kids of his own. I gave him that rifle when he was 12, because he loved shooting it and learning to hand load for it.
If I were going to do it again, I wouldn't make a recoil lug that fits snug over the King Screw stud. I would make it the same width and length, but with a "notch" cut out for the stud to slip in and out of more easily. I found that with the tight-fitting hole, disassembly and reassembly was more tedious than necessary.
I believe this modification can be made to any of the two-piece stock Lee Enfield variants and would be successful.
I'm at the final stages of building a No4 MkI "T" If it doesn't shoot as well as I would like, I'm going to make up a "recoil shoulder" to see if it helps. Maybe I'll just do it anyway.