That does not happen on the moon. It's cold. The rocks are just rocks.
And I'll say it again, it sounds like you're engaging in this ridiculous fantasy not because you genuinely think the moon is a treasure chest but because you privately think war with China sounds kinda cool. You know how you get dumb wars? That's how you get dumb wars.
In the desert, a cup of water is a treasure. In space, even rocks are very useful as radiation shielding.
And I'll say it again, it sounds like you're engaging in this ridiculous fantasy not because you genuinely think the moon is a treasure chest
Lots of people have studied and thought about this. In relation to the environment, it is a treasure chest. It has the right materials to build the bulk of solar power satellites, much more economically than importing those materials from Earth. Again, with enough energy, even dumb rocks become ore. There is a lot more energy available in space.
You know how you get dumb wars? That's how you get dumb wars.
Here's a challenge: Name a dumb war that wasn't at least peripherally about the control of resources, especially energy. The recent ones have been at least peripherally about oil.
This will be hundreds, if not thousands of years from now.
I don't think there will be no resources of value on the moon, but I'm not an expert in the field, so I won't die on that hill. Sadly, even if there was nothing of value there aside from the land itself, we'd probably still fight over it.
It's going to happen sooner than you think. Humans are bad at exponential change. It will be under 100 years from now.
That said, humans are surprisingly belligerent, so maybe.
I’m not a geologist but it just seems unlikely to me that the moons natural resources will be materially constrained in the next few hundred years.
But given enough time, would it not be likely? The present lack of people there has no predictive value about the far future.
That’s not to say that there is no chance of war on the moon, given enough time as you say, but “enough time” IMO is centuries, at which timescale any kind of prediction is really just a guess.
By the time we have large scale industry on the moon, is this going to be the case? Probably not. Also, not all lunar resources are distributed evenly.
Maybe you're right, which would actually be a very good thing for the human race.
Even just as a source of materials in a much smaller gravity well it could be instrumental to future human space industry and exploration.
Additionally the density of the moon is lower than earth, so it will have higher concentrations of kinds of elements that may be rare here. Leading to mines that might be surprisingly valuable. More important may be the fact that these resources are at the bottom of a much smaller gravity well.
On a long enough time period we'll be living on the moon in permanent colonies. You are unfortunately mistaken if you think that will all happen peacefully.