Intuitively I'd think yes but only averaged over time. Waves in quantum fields should pretty much be perfectly matched to the inverse square law over any distan

Intuitively I'd think yes but only averaged over time. Waves in quantum fields should pretty much be perfectly matched to the inverse square law over any distance, but the actual observation of particles (by collapse or whichever interpretation you prefer) will obviously have variance which will only smooth out to an inverse square flux over time.