Trying to keep this all as simple as possible, I'd prefer not to write a book:
What is the rate of twist?
Faster twist rates are better for stabilizing longer (heavier) projectiles. In turn, slower twist rates typically like lighter (shorter) projectiles. Note: the weight has little to do with it, instead it is the length of the projectile and how it tends to pitch, yaw, and possibly even tumble, and how well it can be stabilized to prevent that. Heavier projectiles are almost always longer, and lighter is almost always shorter. The effects of this are not usually very noticeable at the ranges you are talking about, but I have seen groups open up quite a bit at 100m with no other explanation.
The lighter projectiles are probably going to have higher initial velocity, but because of less mass, will loose their velocity faster. Even though they loose the velocity more quickly, because they start off going faster, it should not likely be a real issue at the distances you are talking about*.
Lighter projectiles, by necessity, have lower BCs. In addition to not being able to resist drag as well (see last paragraph) they also cannot buck the wind as well. A higher velocity can make up for a lower BC to a certain extent, at shorter ranges. Again, for typical winds, at the ranges you are talking about, the effects will be negligible*.
*Assuming this is for hunting medium to large game
Consistency is the biggest factor. Brass of all similar dimensions and thicknesses, charge weights the same, even bore ride lengths of projectiles, consistently formed meplats, blah blah blah. Many people think that their weapon prefers a certain type of round because of that round's characteristics, however, more often than not, it appears to prefer that ammo because that ammo is manufactured more consistently.
Now for barrel harmonics. Pretty much repeat everything everybody already said. There are simply too many un-measurable factors to give any type of prediction. Thickness of the barrel, even temperament of the barrel, lands depth, barrel length, barrel weight, any muzzle devices, blah blah blah. You have to shoot it and see how it does.
Now for the real question: Why did you feel the need to change your load, given that it was "dead on"?