Earlier quoted context omitted.
We don't need to go fully analogue though, going asynchronous might already be a step up. In neural networks some groups do research into so-called spiking neural networks, which you could think of as electronic circuits operating asynchronously on binary signals. They are very energy efficient, but nobody really knows how to use them yet.
Clockless CPUs have been a theoretical idea for over a decade before the "neutral network" became a common phrase. Felt like a decade ago it was still a pipe dream. Resolving the asynchronous signals becomes a chore. The world feels stateful and ordered to humans. In the same way functional programming can be difficult, getting this right is very hard.
There had been purely asynchronous CPUs before [0].
Then automated clock gate insertion made it possible to approach the gains of asynchronous, but still designing in a synchronous paradigm.