Spreading around gamma ray detectors would have similar advantages.
Yes, but there's less reason for that. A big part of the problem with neutrinos is that since only a small fraction are absorbed, it becomes much harder to get good data on what is going on. For example, the typical neutrino pulse from a supernova is estimated to last 5 seconds to 30 seconds, while the Earth is under a tenth of a second in diameter. Gamma rays don't have quite as much of this problem and we can sort of estimate their directional data better.
On the other hand, the more recent work with neutrinos has been getting better and better at getting angle data which lets us get the same directional data to some extent.
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