If the mid-eightes are anything to go by Honda DID request a japanese driver in the second Williams-Honda, something that Frank would have none of. Then they decided to supply Lotus, who were far more willing to accept Honda's demands and Satoru Nakajima was dully given the journeyman role alongside Senna.
Eric Bouiller has made it clear Alonso had been negotiating purely with McLaren and not with Honda. Ron Dennis has always made it clear his philosophy was always to get the best available drivers in his team. As far as I know he has never accepted the pressure from any engine manufacturer to impose their own driver(s) on him, although plenty have tried.
In view of the above it's quite possible that Honda will in a year or two supply other teams so they can put a japenese driver on the grid.