Gizmo,
I don't think this is quite indicative of axial flux windings generally. It has 300 turns of spiderweb wire and so fairly high resistance. It is proper Jerry-rig, each coil is rectified independantly.
It has ceramic magnets which caused the winding number to be very high. This high resistance I think is what has caused the results to be not as I would expect for an axial. More watts are being lost in the windings than it would have had it been in Neo's.
Essentially, the efficiency in a PMA driving into batteries is (in an axial) directly related to the winding resistance and the current drawn. By the use of the ceramics, this cruels this axial considerably as the current has to get through a pretty high resistance winding.
Eg, in my machine @5A @52v, we have 260 watts. My stator is .7R So the voltage loss over the stator at this power level is e=IxR = 5x.7=3.5v w=ExI =3.5x5 = 17.5 watts lost in the stator. 260 watts into the batteries = about 93% efficiency... Also bearing drag, wiring run and diode loss and not much else.
At 2kw we would have 35A into the batts. @ probably 57v Stator loss would be 35x.7=24v..... Watts lost in stator will be 24x35=857Watts ..closing in on the 1kw losses but still nearly 70% efficient.... and starting to get toasty.
Being less then 3m off the ground at the moment, I can run it hard and stop it and feel the stator straight away, it would appear to bare these figures out. At around a consistent 1kw, it is still quite touchable....
.....................................................
I just went outside and stopped it, it has been running at 500-1000w all afternoon. (wind front coming through today .. reasonably blowy) The stator was barely skin temp.
If I used more magnet and less turns, then it would be higher efficiency still.
If I messed this up we will soon know it... 
..........oztules