I was just thinking about the distances used: in LIGO/VIRGO, the sizes of the chambers is 4 km, and the interferometric distance they look for is 10^{-18} m to detect a GW.

For the baseline of DUNE we have 1300km, so that would mean 10^{-15} m if we do a very simple comparison. (I am not that familiar with GW detection!).

Measuring neutrino events at such a resolution would seems not realistic currently, as most detector measure events at sizes of cm (reactor experiments)- to meters (atmospheric / galactic). However, don't discount someone coming up with a brilliant insight to actually do this measurement. Some things we measure today were thought impossible not that long ago, like GWs and the Event Horizon black hole image.