Well, lots of M1 Carbines which may be original are in sad condition. Many have rusted/worn/pitted bores and gas pistons rusted in place beyond repair. Doesn't seem to matter if they are USGI or one of the commercial makers later on. Corrosive ammo had a lot to do with rusted out barrels.
IMHO, any M1 Carbine that shoots into 3-4 inches at 100 yards is doing what it was intended to do with the ammo available at the time.
At the moment I am installing new barrels from Tradex which finish just slightly over 470mm. Legal but it has to be done right the first, every time. Here's where the problem comes in. I measured the case lengths after pulling the bullets on 11 different cases that were made by 11 different manufacturers. The case lengths measured from 1.280in to 1.298in.
Here's the kicker 30M1 cases are all over the place from below minimum length to over maximum length by a fair bit. Most of these handy little carbines will digest all of these without issues because they have very generous chambers which aren't conducive to really good accuracy. I had a Universal that was made in the early seventies with all GI parts other than the barrel. I don't know who made the barrel but in had a 1-15 twist rate and looked exactly like the micro groove rifling found on Marlin lever actions at the time. It was an honest 2in shooter at 100 yards. I converted it to a non restricted and accuracy was about 3in.
What I learned from that rebarreling and later on a model 5 Winchester was that the chambers have to be generous unless you are hand loading and making sure your cases are trimmed to suit your chamber. I saw one carbine that was short chambered by a few thou that the bolt didn't rotate all the way into battery and often bulged the case at the base. It must have had just enough engagement that it held and didn't have an out of battery KaBoom. I pulled the barrel for the fellow and cut his chamber .004 deeper. It indexed perfectly so nothing else needed to be done. No more bulged brass.
Tight chambers and accuracy go hand in hand.
Another issue with many M1 Carbines, both USGI and after market clones is that the bevel on the chamber isn't cut deep enough and they will only feed ball ammo. A couple of the AO M1 Carbines I've seen have this problem and the owners usually blame jams and misfeeds on poor magazine feeding. Maybe but I would look into the bevel as well. Military chamber bevels are deep. Deeper than what I see on the Auto Ord offerings and some of the other knock offs.
I have also made up a non restricted length barrel for one Carbine that is made by sleeving a rear assembly, including the gas piston over a match grade take off 30 cal barrel from a gun show bucket. The finished barrel is 22in long and the OD is much larger than a regular Carbine barrel. I have shot it without the gas piston hole drilled and it is basically a bolt action. The thing is, it shoots very well. There is a scope mount on this receiver which is removable but screws to the side. Whoever threw it into the scrap box I found it in had broken off a couple of taps and made a mess. That's OK because I can play with it and not worry about ruining anything valuable or collectible.
One thing I have noticed with the front barrel bands is that it doesn't matter if it's one of the typ I, II or III as far as good accuracy goes. The type III is the best but the real pesky kicker is the little hanger clamp utilized to keep everything in line. Likely to protect the op rod. That's why the type III works best. It doesn't seem to clamp tightly to the barrel.
The present rifle I'm working on with a heavy barrel doesn't have the same front band system. I had to modify the stock and handguard by relieving the wood around where the barrel sits. None of the regular bands will fit so they were eliminated completely and an old Mauser band was modified to do the job but only holds the upper guard in place and only utilizes the band spring retainer. It doesn't touch the barrel in any way. This just may be the solution to the accuracy issues with the M1 Carbine.
The model 88 Winchester has a similar issue with the barrel. Different but still in the same area.