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It’s more complex. But I think your understanding of techno is how many see it.
However “techno” came from Detroit. There was a compilation that was going to be called the House Sound of Detroit but instead it got named the Techno! The New Dance Sound of Detroit. At the time house from Chicago had a predominant 4/4 kick but many of the tracks on the Techno Sound of Detroit compilation though full of percussive elements were not so 4/4 jacking as Chicago tracks of that era. However the baselines etc were clearly not as disco derived as Chicago and the music had a more synthetic/electronic feel. Tracks like Big Fun would probably fit in more with what people consider house music to be.
There had been a prior album The House Sound of Chicago, there has always been a crossover between Chicago and Detroit so the Detroit album was the counterpart.
The only people I know who can properly define a genre are the kind of DJ's who were only playing that genre at the height of its popularity. I was listening to Electro and then Techno avidly so it's one part of the puzzle I have a chance about.
It helps to look at Musique Concrete -> Synths in Rock/Prog -> CS80 -> Chariots of Fire/Gary Numan -> Kraftwork -> Electro. Then you have the basis for pretty much everything on that side which tends to be Electro. That's really Electronic music.
House has Disco influences, when you drop those you get Techno. When you add chord progressions you get Trance.
There's a decent book called Electronica Dance Music Programming Secrets, the edition I have was published in 2000. It shows how to program the different basic styles that had developed then.
I don't claim to be able to define all dance/electronic music into genres and I've been playing and collecting it since day one. I've got pretty good at deciding what Techno is for my own purposes and you're right it's a distinct kick drum that combines with the bass line. Probably a simple pattern in an 'acid' type synth sound and some other contrasting sounds for effect. Some break downs and builds.