Light fills the universe, but a telescope will be blinded if you shine a flashlight into it.
a quick google estimates that a human has about 100 trillion neutrinos pass through their body every second, but only about 25% chance that even a single one will interact with any atom in your body over a lifetime.
it is a detection issue, not a quantity issue.
The situation with neutrinos is exactly analogous: IceCube looks for high energy cosmic neutrinos, not low energy background neutrinos. The latter are only of interest to dark matter searches.