Often tsunamis act more like a very high tide that comes in very fast.
Tsunamis can also look like a flash flood. Or for inlanders, a flash flood can resemble a tsunami.
I have a weekend cabin in Central Texas about 200 miles inland. I have a picture from 1992 - before I owned the property - of someone paddling a canoe through the lower field during flooding after heavy rains.
What makes that picture instructive is that a survey when I bought the place shows that the lower field is sixty (60) feet above the river.
You don't need to be on the coast to have a serious water-rise event to deal with.