No doubt colah's excellent blog post dives much deeper than this essay, but please note that this was wrtten for Edge.org's http://edge.org/annual-questions book, for a general audience, with very high level perspective, with very little space, and without the ability to get technical. Don't pit them against each other! They complement!
By the way, for one interesting example of the "conceptual agility" of scientists at the very edge, check out this interesting story about Feynman -- from a David Deutsch interview (with Sam Harris) -- in which Feynman derives months of Deutsch's work in a few minutes (listen for ~5 min):
https://www.youtube.com/watch?v=J21QuHrIqXg&t=6524 (1:48:44 - 1:52:40)
Scientists' minds are well primed to understand, derive, and formulate ideas -- they are super fertile memetic environments. And what's more-- they have the epistemic filters to annihilate untruths and converge on scientific knowledge (the best explanation not yet falsified). In math (inc. computer science), it's even better because we study and manipulate the objects themselves, not data from measurements of the things. The formulation, derivation, convergence, remixing, (and so on) of ideas is much, much faster.
Knowing both colah and davidad, I confidently assert they are both among the most brilliant young scientists alive. Humanity stands to gain much from the constructive interference of their minds. As readers and commenters, let's foster that.