(I've read the whole article.)
I don't think the author makes a strong argument, and I disagree with their conclusion.
But the author's argument actually appears to be mostly that science itself is insufficient to understand the world. This argument is outlined in the section starting "But the replacement of our everyday world by the world of science is based on a fundamental misunderstanding. Edmund Husserl was one of the first who pointed this out, and attributed this misunderstanding to Galileo."
I think it's a pretty weak argument and I'm surprised Nature published it - the author wouldn't last 2 minutes trying to defend it on HN.
I do think that a better articulated version of his argument would be something like this (which attempts to capture what he means by "not in the world"): "despite all the advances in neural networks encoding tacit knowledge, it still takes a deeper human-level set of tacit knowledge in a wider context to make these neural networks useful. While we have surpassed human skills in-the-small, science based benchmarks, we seem no closer to achieving embodied human-level intelligence from machines in-the-large."
But tacit still doesn't mean what you claimed.