So if I say a cardboard cutout of an apple is red just like an apple, since I'm appealing to the specific properties of an apple, my cardboard cutout is magically an apple?
I appealed to it behaving in some ways like it is spherical.
There you go ignoring what I said.
Notice how in that example you are appealing to the red, the colour.
In the example for the horizon you appealed to the curve.
If it didn't need to be curved, why say spherical?
If it was other properties of a round Earth, other than it being round, you wouldn't have appealed to round.
But you didn't even appeal to it sharing properties with a round Earth.
You appealed to it having properties of a spherical surface, i.e. a round surface.
You are saying Earth has the properties of a sphere.
That means it is round.
If you don't think that, just what property are you referring to?
Especially as the one which explains why objects drop below the horizon in all directions is the curvature.