This article aims to assess and discuss the performances of a hybrid methodology by considering the radiation of a curved structure-cavity system with attached noise control treatments. The hybrid method uses a Patch Transfer Functions (PTF) approach to couple the standard finite element method of the curved structure and cavity with an analytical model of the sound package, i.e. Green functions based model. First, the used approach is presented. Then, the accuracy of the proposed methodology is assessed for two different curved noise control treatments, namely (i) light foam and (ii) light foam with a mass layer. The obtained results are systematically compared to three models, namely full Finite Element/Boundary Element (FEM/BEM) strategies, and to two sub-structuring approaches where the sound package is modeled by (i) a locally reacting model and (ii) FEM. It is shown that the proposed method predicts accurately and efficiently the dynamic behavior of curved trimmed vibroacoustic systems. Moreover, such hybrid approach is suitable for speeding up and facilitating the integration of acoustic treatments, especially at the early stage of the design process where several configurations of the acoustic treatments are tested with the same structure and cavity.