We consider the behavior of the splittings between the L = 1 states in heavy quarkonium systems. With standard assumptions, the ratio of mass splittings, A, = pf2 -M>/(W -MO), is shown to grow slowly as we go from the lowest P states to their radial excitations, a behavior which is in accord with other theoretical calculations and is consistent with experiment. This behavior is the opposite of what is expected from a naive argument which we present. We show why the naive argument fails, and how

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... the phenomenological division of the potential into components which correspond to exchange of a Lorentz scalar and vector can be made so as to obtain other behaviors.