Accuracy comes from a number factors I have done much reading and reseach ( my own ) with different cases and calibers on this very issue.
My main down fall was I read too much in the past and just did not try it for myself.
The combination of case powder bullet as I see it is all you have to work with once you have a new custom, or factory barrel Built)to play with unless you want to tear it appart and send it for tunning.
Not to go on in too much detail, of the construction and assembly of the action, bedding, headspace, and over all trueness of the action, and barrel are all factors that will allow your gun to shoot at different nodes as I will explain.So the bottom line here to point out a good shooting rifle should hold suficient but not percision accuracy if put together right. The harmonics are should say used friendly!!!
But a picky fussy rig, which we have all owned one, may spray for you at the low node.
What I have found in general is the more full, loose terms you can get your case (90-95%) case capacity you will find your top node when I say this that is the node that the bullet,powder,case works best at that tuned to the harmonicly to your barrel and your barrels happy place. By adding and lowering the powder you change the speed and vibration of the projectile changing the effect in velocity changes the harmonics of the package deal changing the std dev to big numbers.
I found on all my rigs 2 ppc, 6pps,6mm BR, 308s, 6.5s, and even 222s the top node works best.
However when lowering your velocity in most cases you will find a lower node, maybe 5 maybe 7 grains lower the rifle will tell you...
In all my tests I found the higher node to be more predictable than the lower for the simple fact the case has more powder. Powder can do many funy things durring the burn if laying flat or shoved mostly to the front end of the case.. specialy in low powder charge cases, or low charge density cases of 80-85% i would not use lower charges the burn rate will be speratic and can be dangerous if under charged in a slow powder. That is why fillers sometime need to be used to hold the powder in to a rear compressed state or colume. Fillers can have or add pressure issues with powders. Not something to fool with if you do not understand it.
You can do a ladder test to find a reduced load and maybe a new node of harmonics for your barrel.
That is why pistol powders are made so fast for low density burns.
I thing remington is not telling the true storry about the reduced loads, I think they must have found a new powder that is bulky and allows a high density but a low pressure for the loads.
However powders like IMR 4959 (bulky) at low charges produce low velocity and PSI and work quite well in modern cases with lead bullets. But this gives you balck powder velocity to 1200 to 1600 fps in some cases.
However saying this there are many cases you can lower quite low and still have sufficient hunting accuracy in the 1.5 to 2 inch mark.
Thats all I know likely forgot to mention a few things.
Now to answer your quesion my 308 shot like crap at 100 yards vs a full load .5 moa group with full loads. Veyr un predictable 2-3 ich groups maybe even 4 at times.
And I have had good success as you mentioned with teh rimmed cases like the 30-30 and 303 with reduced loads and lead!
Regards