Bohmian mechanics and the Many Worlds interpretation make identical predictions (at least, as long as we ignore anthropic considerations). I haven't yet read the article, but if it is claiming that this experiment is some sort of vindication of Bohmian mechanics, then I suspect it is wrong.
Bohmian mechanics and the Many Worlds interpretation make identical predictions
Not exactly. Bohmian QM allows superluminal signalling in certain circumstances.
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