A better way to think of it is as the equivalent of the relativistic block universe. All these different spaces already exist in some superspace, and ‘random’ events take you from one space to a neighboring one. Nothing is manufactured.
From a certain point of view, these kinds of metaphysical ideas are pointless in the sense that it's impossible to actually determine whether they're true or false, and even if you could ask God and God told you, the answer wouldn't matter. It's to some extent a completely meaningless distinction that doesn't describe anything that's directly useful to us. On the other hand, as an illustrative model, it can be an intuitive way to understand nondeterminism. If it isn't intuitive to you and some other model is more intuitive, use that instead. Until the differences between these models become somehow falsifiable, it doesn't matter anyway.