Weeds are very easily pulled without damaging anything in a rock garden. Also it doesn't require fertilizer or water (except for a very small amount for those small bushes).
Is the native landscape a rock garden? If you live in the Mojave: Go nuts, but that black rock is going to bake your house and drive up your carbon dioxide usage. Plants breathe just like animals do and that increases humidity locally, and in dry climates that can be a significant cooling effect. Essentially cheap evaporative cooling.
I feel like this can still be a native lawn depending on which biome it's in. Seems more desert like than a prairie/forest type "native lawn" you might traditionally think of.
But yeah native can look different depending on location so I might be ok with this