Better focus, less chromatic abberation, and a larger sweet spot would be worth the extra weight, especially since the HMD weighs less than Vive from what I hear.
Reducing godrays and chromatic aberration for starters. They could be 160 horizontal fov aspherics made out of plastic not glass, keeping the cost down and solving IPD issues.
Theres no contest it’s a commonly held opinion that GearVR and PSVR have the best lenses in the industry.
Also, take into consideration that there is also pancake lens technology that could be used for VR and are very promising, no one still used such lens to date, only Oculus/FB is experimenting with it.
I do not know PSVR but by looking at GearVR lenses I assume they cover much smaller FOV than Pimax. I can imagine that that aspherical (or any non-fresnel) lenses will remove god rays, but for chromatic aberation, I would expect that simple (i.e. not some complex sandwich lens stack) lens (either spherical or aspherical) will have the chromatic aberration worse simply because it cannot be as thin as fresnel one. Chromatic aberration though can be resolved by applying color selective distortion profile, but god rays cannot be solved this way.
Anyway, for me it is not really obvious, that non-fresnel lens should be better for higher FOV, and what is worse, that they would even work.