Disclaimer: I haven't worked in a store that actually carried the Asian Fit Oakley (a demographics thing), but I've seen and handled quite a few.
I can spot the difference immediately. A majority of sunglasses in the US are sold on an "Agordo" or European fit that tends to fit better for people who originate from well ... Europe. Their noses tend to be more pronounced than an Asian, and also their cheekbones tend to be less "high".
The major differences in an "Asian fit" pair of Oakley compared to a "standard fit" Oakley are that the nose bridge is more narrow (yes by mere mm), and the frames/lenses will tend to not drop low as severely over the cheekbones. There will also be overall frame "width" differences but i haven't really looked into that part.
ZackC. is correct that it all does come down to your face. I'm not sure what will fit you "better". I do see a heck-of-a-lot of people of Asian descent wearing "standard fit" Oakley sunglasses. But then again that may be a straight availability / knowledge issue.
When it comes to a radar path or pitch, there should not be a difference in the frame at all once you narrow into either standard or Asian fit. Path or Pitch are simply the lens cuts. I will say that i see mostly Path lenses on people.
My suggestion: If you go to your local Oakley dealer, try on a regular Radar Path or Pitch. If they feel like they fit well, then leave it at that. If they don't, figure out which lens cut you like, then order the Asian fit one from Oakley.com. You've got 90 days to return them either in-store to Oakley, or through mail.
http://www.oakley.com/customer-care/returns ****EDIT NOTE: if you elect to customize your Asian fit Oakley (if available) then they are non-returnable ****
Hope I helped. If you have more questions, I'm happy to give them a go.