This is an old article, and it's possible that this question has already been asked, but I've been looking through the comments and I can't find it anywhere. So, here it is:

Why does it matter? If many-worlds is indistinguishable from the Copenhagen Interpretation by any experiment we can think of to do, how does it matter which model we use? If we ever find ourselves in a scenario where it actually does matter which one we use -- one where using the wrong model will result in us making some kind of mistake -- then we now have an experiment we can do to determine which model is correct. If we never find ourselves in such a position, it doesn't matter which model we decided on.

When phrased this way, Science doesn't seem to have such a serious problem. Saying "Traditional Science can lead to incorrect conclusions, but only about things that have no actual effect on the world" doesn't sound like such a searing criticism.