I built several machines with overlapping coils because that was the way I always wound radials. The problem with an axial is the lack of space at the centre, there is room for the overlap on the outside.
The other snag is finding room for the end windings. Not so difficult with a single rotor as the ends can be bent back past the core, but with a dual rotor you only have the thickness of the magnets to squeeze them in. This means that the magnets can not be potted in the normal way and the potting , which I consider essential for weather protection, needs to be cast accurately as a torus around the magnets.
I did my experimental ones with ceramic magnets ( pre sensible price neo) and I thought I could squeeze more out with the overlapped coils. Dan is right that the large amount of extra wire needed for the end connections defeats the object and it takes a great deal of skil and time to even produce a winding as good as the single layer type.
There are many cases where perfection makes little improvement and if it comes at a high cost in terms of complication and effort it is best avoided.
It is interesting to consider why all commercial motors and alternators use this approach. If you look at a 2 pole motor it has more wire outside the slots than in it by a big factor.
The fact is that with conventional machines the determining factor is not resistance, it is impedance and when the inductive reactance is greater than the resistance, resistance is no longer the thing that dictated the output and so a winding that gives a 10% increase in resistance will have no real effect.
In the case of the things we build here where they are tightly coupled to a battery, it is the resistance that dictates the output and anything that gives a higher resistance is at a serious disadvantage.
To gain anything from filling the total space it has to be done without increase of air gap or without increase of resistance. It may work out with a large diameter disc with many small magnets where the space is more realistic at the centre. With radials without slots there is a 30% gain from using a fully wound stator.
Flux