Oh my goodness, the irony of your username while arguing against precisely defining the sun's position in the sky! But you're still correct: When most people a

Oh my goodness, the irony of your username while arguing against precisely defining the sun's position in the sky! But you're still correct: When most people are using time in conversation, they need it to be meaningful with respect to solar time. If your replacement method can't do that, no one will adopt it.