Arguments that the world picture presented by this theory is contradicted by experience, because we are unaware of any branching process, are like the criticism of the Copernican theory that the mobility of the earth as a real physical fact is incompatible with the common sense interpretation of nature because we feel no such motion.
Whether the overall idea is true or not, this rejoinder is balderdash. There are many ways to directly observe and measure Copernican motion besides feeling it.
