When a Lee Enfield of any model is sportered, PROPERLY BEDDED, and loaded with bullets that FIT THE BORE PROPERLY, they will shoot very well.
1 moa is not out of the question.
If the shooter buggers up the ways, uses off the shelf commercial ammo or even most surplus ammo, it's a toss up as far as acceptable accuracy is concerned.
When these rifles were originally loaded with smokeless powder and 220 grain bullets, 4 moa was decreed to be "acceptable."
Match records from the time, with these rifles will indicate that.
Most Lee Enfields of every model and mark were made under war time conditions and tolerances were generous to say the least.
This is what most people have and shoot.
Someone ALWAYS chimes in because the one and only Lee Enfield they owned or shot was a "JEWEL" which shot commercial ammunition well or it wouldn't shoot anything well and declare "all of them are like mine"
Lee Enfields of all types, including Australian "H" barrels can be had with bores measuring from .309 to .315. Match those barrels with proper size bullets and they will usually shoot less than 2moa without much trouble and better with a bit more trouble.
The real weakness of the Lee Enfield is the incredibly awkward bedding system. Very easily disrupted and always requiring maintenance.
When they're good, they're very good, however most are OK and many are terrible, depending on condition of the rifle, bore diameters and availability of consistent ammunition.
There was a time in Canada when making a Lee Enfield shoot wasn't a mystery, IF the shooter wanted to look into it. It still isn't.
CIL/Dominion used to make bullets ranging in diameter from .306 to .330, in .001 increments. There was actually a profitable market for this, because of all the surplus rifles being converted to sporters and the varying bore diameters of these rifles.
When IVI, Valcartier Industries took over, all of the machinery/tooling used to manufacture these cup and core bullets, which was well worn, was sold off into the US and Europe.
Most of those bullet diameters disappeared with that equipment, which was refurbed to produce the most profitable diameters to more exacting tolerances, especially jacket thicknesses.
Most of the Lee Enfields were produced with century old tech. Manufacturing capabilities, especially those relating to repeatable tight tolerances have increased exponentially. To expect similar results?????????????????????
Last year I purchased an M98 Mauser which had been converted to 303 Brit. The bore is badly worn/pitted but it still shoots into less than 2moa with handloads it likes, with .311 bullets and iron sights. I was going to rebarrel it, chambered for the 303 Brit, using .308 bullets. Flash thought, do I want or need another 308Win equivalent shooter??? It will remain as is for "someone else" to take care of or alter.
Those old rifles are what they are. Learn what they are and ask yourself if you're willing to go through the effort required to make them shoot well.
If you don't like the Lee Enfield, find a Pattern 17 "Enfield" which is nothing more than an M98 Mauser on steroids. Bore diameters seem to be a bit more consistent with these rifles.