Are there approximate relations among transverse momentum dependent distribution functions?

Certain exact relations among transverse momentum dependent parton distribution functions due to QCD equations of motion turn into approximate ones upon the neglect of pure twist-3 terms. On the basis of available data from HERMES, we test the practical usefulness of one such Wandzura-Wilczek-type approximation, namely, of that connecting h(1L)(perpendicular to(1)a)(x) to h(L)(a)(x), and discuss how it can be further tested by future CLAS and COMPASS data.