Electrical Generator Windings - Is there an "ideal" way to wind?
Like most things, generator designs are complex trade-offs between different design choices.  Without more details regarding a specific application and the desired design goals/targets it is not possible to say what is the "best" design.

Power, efficiency, rotor speed, electrical terminal performance (frequency, voltage, etc), torque/speed characteristic, weight/mass, ambient temperature, available cooling, material and assembly cost sensitivities, volume all drive generator designs in different directions.  Depending on how these (and other) factors are weighted, very different machine designs result.

You have described two different machines, the first is an axial flux machine and the second is a radial flux machine.  Most manufactured generators are radial flux machines. Axial flux generators are typically niche machines for special applications. The axial flux machines get lots of discussion, DIY videos and start-up press releases, but so far they are still niche players.