This is just my opinion but yes, I would have Aso stay to try to prod the bureaucracy to formulate better policies for the serious problems Japan is facing. It would be a good signal to the populace. He could send his ministers (Nakagawa excluded) to participate in any discussion that he doesn't absolutely have to be at--Aso probably doesn't know much about the economy anyway judging from his performance. He just seems to want to fly off anywhere at the drop of a hat.

Six million dollars would pay my share of taxes for at least a couple of years, and I'd like my share of that expense refunded.

Also, I don't think Western-style fiscal reform would find much support in Japan these days. A new leader would have to be more pragmatic and less ideological.