Recently a new hybrid discretization approach to alleviate membrane locking in isogeometric finite element formulations for Kirchhoff-Love shells was presented [1]. The approach is simple, and requires no additional dofs and no static condensation. It does not increase the bandwidth of the tangent matrix and is effective for both linear and nonlinear problems. It combines isogeometric surface discretizations with classical Lagrange-based surface discretizations, and can thus be run with existing isogeometric finite element codes. Also, the stresses can be recovered straightforwardly. In formulation [1] two classes of finite elements are used. It is shown here that a single element formulation yields identical results. It is also shown that reduced quadrature for the bending terms allows to increase computational efficiency without losing accuracy, similar to what was observed in [2]. The performance of the new formulation is illustrated through the rigorous study of the L2-convergence behavior of several classical benchmark problems.