Autonomous vehicles (AVs) require accurate global pose estimation to operate effectively. A common approach involves utilizing perception sensors to extract environmental features which are used to geo-reference the vehicle with pre-defined maps. High Definition (HD) maps are frequently used for this purpose due to their detailed feature sets. However, the use of HD maps presents challenges as they are not frequently unavailable and their custom generation involves considerable complexity and cost. Conversely, Level of Detail 2 (LoD2) maps are freely available for numerous cities and are regularly updated, hence they can offer a potential solution. However, due to their geometric simplifications, the applicability of LoD2 maps for AV pose estimation remains uncertain. In this study, we investigate the impact of these simplifications and assess the suitability of LoD2 maps for AV pose estimation. We perform a comparative analysis between HD and LoD2 maps in a simulated CARLA environment, employing an Error State Kalman Filter (ESKF) to estimate the position, velocity, and orientation of an AV. We showcase our results using ideal sensors to isolate the effects of LoD2 maps, as well as realistic sensors to evaluate their performance in real-world scenarios.