Both ‘ray casting’ and ‘ray tracing’ are overloaded terms, the distinction isn’t as clear as you suggest. You’re talking about 2d ray casting, but 3d ray casting is common, and means to many people the same thing as ‘ray tracing’. Ray casting “is essentially the same as ray tracing for computer graphics”. https://en.wikipedia.org/wiki/Ray_casting
There’s also Whitted-style recursive ray tracing, and path tracing style ray tracing, but ray tracing in it’s most basic form means to test visibility between two points, which is what ray casting also means from time to time.