Determinism of MWI as I see it.
We have a string of numbers: 52, 30, 2, -1, -24 ,-77, -98, 82, 28, 69, -23, -89, 18, -50, -26, 85
We say it's random, as we can't see any system behind these numbers.
But let's imagine there is another string of numbers: -52, -30, -2, 1, 24 ,77, 98, -82, -28, -69, 23, 89, -18, 50, 26, -85
We pairwise add numbers from both strings at respective positions and we get perfectly predictable string: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Have we explained randomness of the first string? No. But we can entertain ourselves with another perfectly predictable string.
In MWI we can't explain random outcomes of measurement events we experience, but wavefunction is deterministic. Isn't it neat?