LARES/WEBER-SAT and the equivalence principle

It has often been claimed that the proposed Earth artificial satellite LARES/WEBER-SAT−whose primary goal is, in fact, the measurement of the general relativistic Lense-Thirring effect at a some percent level−would allow to greatly improve, among (many) other things, the present−day (10) level of accuracy in testing the equivalence principle as well. Recent claims point towards even two orders of magnitude better than now, i.e. 10. In this note we show that such a goal is, in fact, unattainable by many orders of magnitude being, instead, the achievable level ≈ 10.