[anon291]

Without defining what 'actuality' is, then there's no meaning to 'the Schrodinger equation holds in actuality'. In their own way, all interpretations of quantum mechanics claim the Schrodinger equation holds in 'actuality'. Some view probability and potential as a claim on 'actuality'. Others dismiss this and instead view probability skeptically and claim it must thus be true. This is an ontological argument, not a scientific one.

[Veedrac]

If you don't like the word 'actuality', I can rephrase. Many worlds is just the claim that physical reality materially evolves in correspondence with the Schrödinger equation.

If you want to quibble over what it means for something to be material, go ahead, but unless you can tie it to some specific claim being made about QD I don't really know what the exercise gets you.