This paper presents a robustness assessment and a comparison of three control techniques: Nonlinear Dynamic Inversion (NDI), Incremental Nonlinear Dynamic Inversion (INDI), and H-infinity Loop Shaping (LS). The methods are evaluated in the context of launch vehicle (LV) attitude control, making use of linear analysis tools to assess performance and robustness. The study proceeds in two stages. First, the linear versions of NDI and INDI are used to invert the launch vehicle system. The input-output singular values of four systems are then compared: the two inverted systems, a shaped plant from an H-infinity LS controller, and the open-loop system. The results show that the inversion strategies naturally achieve singular value patterns similar to the H-infinity design with minimal designer intervention, although inherent limitations are identified. Second, an outer-loop controller is added to the linear INDI system and tuned by shaping the closed-loop singular values. The resulting controller is compared, in terms of performance and robustness, to an H-infinity LS controller and to a controller employing the LV state-of-the-art architecture. The analyses confirm the superiority of the H-infinity LS controller, and that the limitations inherent to the inversion strategies cannot be fully mitigated by outer-loop control. Nevertheless, the tuned inversion-based controller meets all design requirements and surpasses the performance of the state-of-the-art approach. Overall, this paper illustrates that NDI and INDI, when applied to LV attitude control, can achieve most — though not all — of the performance and robustness of linear robust control approaches. This is achieved with lower design complexity, highlighting the practical use of these techniques for flight control system design.