RobertNC, yes, you have the idea all right--directional patterns are three-dimensional, and in their ideal forms they are rotationally symmetrical. See the attached examples from a BeyerDynamic catalog which try to represent this fact.
In reality there can be quite a difference between the polar pattern in the horizontal (lateral) plane and in the vertical plane, depending on the design and shape of a microphone and its capsule. One extreme example of this is a microphone from Microtech Gefell which has an extremely narrow pickup pattern in the vertical plane but a more conventional directionality in the horizontal plane. Some Milab condensers have rectangular capsules, which have distinctly narrower vertical directional patterns than their horizontal directional patterns.
But some degree of difference is usually present in more conventional designs as well, since with a conventional, cylindrical "front address" microphone the sound field "sees" a different shape at 0 degrees than at other angles, while with a cylindrical "side address" microphone the physical shape is the same for all angles of incidence within the horizontal plane.
--best regards