Perhaps it's' a wild theory; but:
I am neither a physicist nor ballistician, but I have some experience that leads me to suspect that there may be "false" nodes created (aggravated in barrels with less mass) in rifle barrels. In addition to the harmonic vibrations along the length of the barrel, a certain amount of expansion occurs when pressure developes in the chamber, producing circular expansion along the bore. The ratio of circular expansion coupled with the frequency of the longitudinal harmonic vibrations along the length of the barrel combine to produce the nodes. If the circular expansion is constant and relatively small, as it might be expected to be in a heavy straight (not tapered) barrel, it should have little affect the longitudinal harmonic vibrations. But with a light weight tapered barrel the null points of the longitudinal harmonic vibrations will change, modulating the frequency of the longitudinal vibrations.
When I get the type of results you describe I create sample loads within the range that produce the best results and move out to 300 yards. One will usually distinguish itself as better than the rest.