If the frayed strands are outside of the tip, and that part of the leadout would never reach the leadout guide at full travel, then it could be the quality of the wire. Or, since it is a used plane, maybe the previous owner(s) damaged it from poor handling.
I have seen instances where the leadout guide is well inside the tip so that the leadouts can rub on something right at the edge of the slot. There could be something inside the tip, just beyond the slot, that the wire was rubbing on but you can't see that unless you inspect closely. Maybe the leadouts were rubbing on a sharp edge at the top or bottom of the leadout slot. I chamfer that edge to lessen the chance of the leadout rubbing there.
Check everything out very well so you do not have a repeat of frayed leadouts.