The Japanese have a saying, "Tagei wa Mugei", or "To have many skills/techniques is to have no skills/techniques" (our equivalent: "Jack of all trades, Master of none").
Remember that your opponent may not always have his arrows. In that case, it would be very helpful to be the world's best swordsman.
I am a great proponent of cross-training. We spar, grapple, kickbox and train in Kobudo at my school. It is good to be exposed to many arts, but it is better to be a true master of one.
Like in business, the specialist is always worth more. Yes, s/he is "obsolete" in some situations. True excellence in something sometimes precludes true excellence in something else.
This does not suggest that we should not be knowledgeable in the art of arrows. Only that, in reality, should we abandon our swords to meet our opponent on their plane risks 1.) Chasing two rabbits in our martial practice, and 2.) Putting ourselves in unfamiliar territory. Either way, you lose.
Try to make your opponent play YOUR game. It is where you are most comfortable and effective. If you cannot do this, recognize your opponent's game and avoid it. If you cannot do this, arrow lessons will not help now.
Gary J. Khoury http://www.uechi-ryu.com/khoury