The article mentions Mach numbers, but it leaves out what is most interesting about Mach’s place in the history of science, which is as a bridge to Einstein and General Relativity. Essentially Einstein read Mach and took a bunch of mind-bendingly profound but vague philosophical ideas like Mach’s Principle[0] and put together General Relativity out of it. And this self portrait gives that side of Mach too - the philosopher obsessed with phenomenology and how local perception relates to the large scale universe out there.
As a side note, Einstein read Mach but strongly opposed logical positivism[0].
[0]: https://philosophynow.org/issues/133/Einstein_vs_Logical_Pos...