TLDR:
Any skilled machinist can take the broken part out, put it together by soldering, welding or casting. It's there - on the table, it's function is clear and is not obscured or serialized to one unique device. Expensive repair as a service? Probably. Doable in a small modern workshop? Absolutely. Especially in the world of laser scanning that can map the replaceable part very precisely + 3D printing gets better by the day.
This is just make-believe, a myth. Reality is different. You claim that since we can "observe" a machined piece, we can reproduce it. This doesn't say anything about the material used, nor the precision required. You think that machined parts that often get damaged, like the advance gears for a Pentax 6x7 camera, are easy or cheap to machine again with the required strength and precision? Those parts that break or bend in a mechanical camera, are often under critical stress, or require critical precision.
Have you peeked inside a mechanism like the mechanisms inside a Canon New F-1? Have you taken a look at the mirror-polished gears that are there, or the laser welding used to keep the curtain spindles soldered to their corresponding gears? Do you think to replicate such parts, with the same reliability, would be a simple job for a small machine shop?
As for 3D printing, you seem to think 3D printing is some magical thing. It isn't. You can't replace a precision cam or gear on a camera with a 3d printed piece made by the FDM process. Unless it's a big piece that doesn't matter if it's fragile. SLA (stereolithography) can make pieces of better precision but not rigid enough. You need a machine shop with a lathe. And then the machine shop not necessarily will be able to make a piece with a reliable, strong enough alloy.
As for soldering... Do you think soldering an alloy precision piece, like a gear, that will be subject to strain and pressures,, is something that is sane or even feasible.
It's there - on the table, it's function is clear and is not obscured or serialized to one unique device.
I will tell you which kind of parts have their function not obscured by anything and can be precisely identified and replaced:
Electronic parts. I can look at a capacitor and know what will its value and voltage should be, by looking at its code. Same for transistors, they have a printed code there on top. Integrated chip failed? This is rare, however If you're thinking you can take the time and expense of having a machine shop make a custom piece, then surely by the same time/effort i can get an electronic wizard to replace even a complete IC by another custom IC made by PLA (programmable logic arrays), microcontrollers, or a combination of them plus analog circuits.
OR, even easier... get a donor camera. Which is what you will often need in the end, no matter if the camera is "electronic" or "mechanical".