“The new device is built from arrays of resistive random-access memory (RRAM) cells… The team was able to combine the speed of analog computation with the accuracy normally associated with digital processing. Crucially, the chip was manufactured using a commercial production process, meaning it could potentially be mass-produced.”
Article is based on this paper: https://www.nature.com/articles/s41928-025-01477-0
Analogue computers are indeed capable of doing a task 1000x faster than a regular computer. The difference is they do only that task, in a very specific way, and with one specific type of output. You can 3D print at home an “analogue computer” that can solve calculus equations, it can technically be faster than a CPU, but that’s the only thing it can do, it’s complex, and the output is a drawing on paper.
If you come up with a repeatable and precise set of mechanical movements that are analogous to the problem you want to solve, you can indeed come up with headlines like that.