We travel between Vancouver and Kobe regularly.
Options are limited, Air Canada Rouge has a route started May 1, 2015 between YVR and KIX but we don't like Rouge very much so we doubt we will take route.
We usually end up going ITM NRT YVR and we have also done ITM HND YVR return.
We are Star Alliance so our loyalty lies with AC and ANA. We generally prefer ANA over AC.
For us, our home is Nishinomiya which is a quick taxi ride to/from ITM.
When we use KIX, we use the airport limo to KIX.
Last year, we did YVR SEA NRT ITM, on UA. We wanted to try out the Boeing Dreamliner.
If my destination is OSAKA, we would prefer to arrive at KIX only because their are many options to get to OSAKA directly as others have already mentioned.