So initially my thought was "why would this be better than existing infill patterns" but my second thought was that the reason Miura-ori patterns are interesting in the first place is because they fold. Not in this application so much, but in general, the way they flex is why they're interesting. The upshot here is that if you embedded that sort of pattern in a closed box, the degrees of freedom would try to transfer the force of a vertical load on the top to a horizontal stress in the outer shell of the base, in both x and y. A bit like a spherical dome.

I'm not sure that it's better than a dome; it might be for cases where you can't predict where on the top surface the load is going to be? I'm also not sure that a sheet of printed infill is sufficiently similar in its physical properties to a sheet of paper/card for this to transfer well, but it would be an interesting experiment to do.