It is probably wippy due to loose loose layers as suggested have you checked for tightness in the vee.
The V looks and feels solid and I've put weight on it and the flex seems to feel as though it's in the handle. Is there a specific way to determine how solid the V is?
@WalkingWicket37 I'll give the repair a crack and if that fails I'll get it rehandled.
@Red Ink Cricket I'm going to remove the old binding and double bind it as I use 2 grips anyway, would it end up being similarly thick? In re-glueing the handle layers, should I just treat it like a crack? Syringe, glue, clamp, set?