Demonstration of neutrino less double beta decay would prove majorana conjectures and point to fractures in the “standard model of physics” meaning new fundamental particles would be needed.
In my opinion whoever measures the CvB (cosmic neutrino background) will be more compelling because it isn’t a nullification result, it’s a result that would tell us far more about the Big Bang than we know now.
Neutrinos are hard to measure, have been the source of a lot of Nobel prizes!
Disclaimer: I use to work at lbl