Axes don't need as much training as a sword (falchion) or the chakrams (wind and fire wheels) would. I reckon that a lot of training for the wind and fire wheels would be how to hold them properly so you don't stab yourself while dual-wielding them.
I don't want to cut myself on the amount of edge those not-chakrams are emanating. Just look at those things! They've got edges sticking out of their edges!
It's a matter of my honor stupid roleplaying principles, more than anything. I'm sure there will be a decisive tiebreaker... someday. Or the QM will lock the vote in a few days.