The paper deals with the behavior of the Earth's pole when exclusively random excitations are at work (e.g. internal displacements of matter, treated as a process of stochastic character). The title of the paper is similar to that of a paper of N. Sekiguchi whose probabilistic final deductions are very ingenious. However they have been applied to a wrong solution of the basic differential equation system. The correct solution is more complicated and does not afford such an advantageous practical possibility of applying the probabilistic treatment with success.