Lokša and Kopco [Trends Hearing. 27, 23312165231201020 (2023)] introduced a model of the reference frame of the ventriloquism aftereffect (RFoVAE) that described many but not all available RFoVAE data by assuming that the auditory spatial map, natively using the head-centered RF, is adapted by visual signals in both eye-centered and head-centered RFs. Here, the model is extended primarily by considering that, when saccade-to-sound responses are used to measure ventriloquism, the saccades also undergo an adaptation. The extended model can explain all available data, suggesting that the RFoVAE is largely head-centered, while saccadic adaptation, which is nominally eye-centered, accounts for the mixed RF observed experimentally.