Cutout shader not working correctly on custom object

I have two objects: a rounded cube using two materials made in Blender and a normal cube added through Unity itself. The inner material of the rounded cube is the same as the other cube. I set the material to cutout and added an albedo map which is a simple cloud effect.

When I slide the alpha cutoff the cube starts to fade like intended, but nothing happens with the inner area of the rounded cube:

As soon as the cutoff goes over 0.5 the rounded cube material instantly disappears:

I have near zero knowledge about shaders, so my question is whether this is intended behavior or not. And if it is, how can I make the rounded cube behave exactly like the other cube?

Have you UV unwrapped your object? The cutout mask will not work if it doesn’t know where it’s supposed to be on the object.