They are an evolution of pinball buttons and totally predate things like kiosks.
The first interactive kiosk supposedly happened around 1977, so that is true. I mentioned it because it was an early use for consumer interaction, rather than an "industrial" application. The reliability bar is much lower for non-industrial-use switches like those used in pinball, video games and kiosks. They were/are considerably less costly as a result.
It's also interesting to note that some very early video games (like Computer Space, Space Wars, Tailgunner...) didn't even use the modern button style, so their use in other arcade machines definitely predated the video game genre. Like a lot of things, manufacturers probably settled on the current design because it was already available and in use in the same space by the same consumers. No tooling up costs and arcade clients were used to using them.
*edit*
I just saw a photo of 60's era pinball machine. It's interesting to note that they did not yet use the modern button style. The plunger appeared short and flat, and the bezel was virtually non-existent compared to the buttons of today. So it would be interesting to know who originated the newer design and when.