I suspect you are assuming that high fps cameras are a lot newer than they are based on the fact that movies were shot at 24 fps. That wasn’t really a technological limitation. Film as just expensive and 24 fps was good enough
In reality high speed photography and film goes back to the late 1800s and actually predates the use of photo finishes.
That said, the very first photo finishes would use a string or something that broke once something passed the finish line and triggered a camera. That was in the 1890s and by 1920 we were simply using film, you just start recording a bit before the finish and you are set.
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