Harmonics is real, the reason for heavy barrels is to reduce harmonic movement of the muzzle during the firing process.
The second part of 'Jump' (Freebore) is how the bullet is effected when it crashes into the throat/rifling.
The bullet is squeezed down, and it gets slammed sideways, no case aligns with the bore perfectly.
Some throats taper differently than others, velocity changes will work differently with those changes.
When people say a barrel is 'Shot Out', often times the rifling is fine, the throat has eroded one way or the other causing problems.
In these cases setting the barrel back and rechambering, cutting a new, even throat taper/freebore brings accuracy right back...
No matter what people say, throats don't erode evenly, one side is going to take more of a beating leading to deformed bullets.
Just 'Touching' the throat with a finish reamer shows off set/out of round/lopp sided throats right away. Not hard to figure that one out...
Off set throats/tapers 'Bend' the bullet into the chamber, and a lop sided bullet is never a good idea...
Some of that off set can be overcome by velocity, 'Jump' from casing to rifling helps to 'Resize' the bullet to form to barrel.
Other times it works against you, fracturing the bullet or lop-siding the jacket.
This is why we run range tests, to find out what works best & what doesn't.