"Water on the moon" and "water on the earth" have very different values: the cost of transport dwarfs the cost of the water. A barrel of water on the moon is worth millions because of those costs. Beyond that, "water on the moon" is relatively cheaply converted into "water in space."
I still doubt that a war would end up happening over it, if only because it appears relatively cheap enough to extract that it's not worth the effort and risk to build a war-making apparatus to prevent other people from extracting it.
There is surface water on the moon that is constantly replenished when the sun rises. Not loads, and most of it gets boiled off again as the sun gets higher in the sky, but it is there. Is formed by hydrogen ions in the solar wind reacting with oxides in the rocks.
What he probably means is that, the small quantities of ice on moon is precious. If some country say US manages to extract it all for itself, other countries like China could be pissed off... But I kinda like such a race ;-) minus the war though...
> "If some country say US manages to extract it all for itself"
They found a bit of water essentially just by drilling down. If it's like that all over the moon, or even over an appreciable fraction of the moon, then getting it all for yourself is an unmanageably huge task.
Remember, the moon, while considerably smaller than the Earth, is still a very big place.
The first country to start using it is going to cause an uproar.