That's only two orders of magnitude away from a 100bps line, which would incur 10 ms latency due to the transmission method (in addition to the latency of the n

That's only two orders of magnitude away from a 100bps line, which would incur 10 ms latency due to the transmission method (in addition to the latency of the neutrinos actually having to get there), and that's for reliable communication. Unreliable communication that gives you an advantage over mere chance 1% of the time can already be advantageous, you'll be right 51% of the time.