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So, by widening your perspective to include all seed values, you essentially support the multi-universe hypothesis? With each universe having its own (enormous) set of seeds, and then behaving entirely deterministicly, although that determinism is completely invisible to those who reside within it?

A multiverse is one explanation. Another one is that we are simply missing a large part of what's going on in the universe. The latter doesn't seem too hard to believe, especially considering that 96% of all energy in the observable universe is a mystery to us.