So would sponsorships. Teams would pay players more money. New facilities would be built. Standards of play would rise. In fact, standards would rise a lot.
Asian countries tend to be very competitive amoungst each other.
Asian leagues in the region would have the opportunity to play against each other regularly, much like the Europeans do. Unless of course you happen to like the present Dream Team situation, where the games are uncompetitive, unexciting and generally not very good. Sure, America would get beaten more often. The day may even come when the Chinese will win more matches against the USA than they lose. Probably in the men's game as well.