It doesn't have to be better in an absolute sense, but being good enough for a cheaper price, lower power usage, smaller footprint, etc.
I think a lot of floating point calculations could fall into this. For example in neural nets, maybe there are analog versions to calculate the weights, sigmoid function and so on.
And for graphics, you don't really need the exact color value of each pixel. Maybe those could be estimated in analog functions too.
That video was amazing, by the way!
This is probably one of the reasons why analogue fly by wire flight control systems existed quite a way into the digital age. The original Su-27 had an analogue fly by wire flight control system, for example.
I watched this talk, which describes the current von Neumann computer architecture as "analog communication with digital computing". This consumes more energy than digital communication with analog computing. Projects like Neurogrid, Intel's Loihi chip and pretty much any system that can efficiently run spiking neural networks.
Neuromorphic computing is where this is going.
https://spectrum.ieee.org/analog-ai
Here is another random article from 2019 https://semiengineering.com/using-analog-for-ai/
Of course, not much technical barriers, maybe some minor complexity in actually showing it and providing an interface.
The washer cycle(s) were driven by a clock which rotated a drum or cylinder with pegs that would start and stop specific actions. So, fill, agitate, drain, spin, rinse (fill, agitate, drain, spin), and spin-dry. The mechanisms were bog simple.
Whether you consider these analogue gear logic, or digital pin memory is somewhat arbitrary and a semantic distinction. Either way, the "programme" is fixed, and there is no interactive logic, only a pre-defined behaviour which is followed. Fill and drain were controlled via float switches, I believe.
Users could modify the routine somewhat by selecting different sections of the dial (which programmed different wash cycles) and by where within each the wash started (longer or shorter pre-soak), by selecting fill levels, and by selecting water temperature.
Thankfully I work on the leading edge of several technologies and I'm trained in analog so I see this stuff all the time.
I do some analog work too, but today's mantra is: Get it into the digital domain as soon as possible.
Not really. Whatever output the analog computer returns can be digitized with no detriment to its performance, pretty much in the same way a sensor which measures a physical property can have its output fed into a digital system with negligible interference over the original measurement.
Also, the same rationale can be used to probe intermediate steps and automatically check for their accuracy, even if only during validation phase. This is a possibility that was definitely not available, say, 60-odd years ago.