Except that my two most accurate Marlins are a Remington made 336S and a Remington made 1895SBL. And I have JMs to compare. They also cycle over length ammo more consistently and run very smooth.
There are many things that can cause accuracy issues with a tube magazine, two piece stock lever gun aside from a bad barrel because people do not like Remington and like to blame them and that for the cause. Some things to check after you consider that the magazine is loaded with huge cartridges pulling downward on the barrel. Does this rifle have a barrel band? I have had several Marlins of various vintage that when I explored accuracy problems I found that there was tension being exerted upon the barrel by the magazine tenon/screw at the muzzle end with the stock cap/band being the fulcrum/bending point. I had to do some filing and shimming to remove the preload. Also, as the barrel heats, the magazine does not, this also pulls the barrel downward. I have found that after about three shots in fairly rapid succession the groups may open up or string unless some cooling time is allowed in subsequent shots. Then to top it off, some JM barrels were not in alignment with the receiver, so if scoped there might be an issue there, but since this is a Remington rifle it probably is actually straight. Is the forestock loose on the rifle, any at all?
3C