Don't know if there is any evidence to back it up, but I read somewhere that golfers who putt straight back and through (Dave Peltz's method) do better with a center-shafted and those who putt with an arc stroke should use a putter that's shafted more toward the toward the heel.
I was taught Peltz method but can't putt worth a darn with a center shaft.
SO... I've concluded it is all me, not the putter.