In recent work [1] we have introduced and evaluated a fair and dynamic joint Call Admission Control (CAC) and Multiple Access Control (MAC) framework, for Geostationary (GEO) Satellite Systems, named Fair Predictive Resource Reservation Access (FPRRA). The framework was based on accurate videoconference and data traffic prediction, made decisions after taking into account the provider revenue, and was shown to be highly efficient. However, the accurate modeling of multimedia traffic is not always possible, especially in the case of video (i.e., not videoconference) traffic. In this paper we evaluate the performance of FPRRA in the absence of accurate video traffic modeling and we discuss the efficiency of the scheme in comparison to other efficient schemes from the literature