It is usually harder to get rid of any weeds when your crop is growing on the field. After harvest, you just get rid of everything, turn the soil (but I don't know anything about rice farming) and you kinda get a fresh start.
ON THE OTHER HAND, we already have robots that can easily identify weeds with a camera and zap them with lasers or other shit. Which just seems so much more reasonable in the near future than trying to harvest individual rice grains off of a perennial plant that cannot be damaged so that the plant can provide sun cover to prevent weeds... just not seeing it.
Also, Chinese harvests rice up to three times a year. And the harvest itself is much easier if you can grab entire plants. So I am not convinced anybody is going to get interested in it.