This technical report investigates the influence of different types of all-dielectric metasurfaces on wide-angle doublet metalenses. It begins by discussing the capabilities of doublet metalenses to achieve nearly diffraction-limited focusing at oblique angles, specifically up to 30 degrees. The report highlights the absence of comparative studies on the robustness of various meta-atoms against oblique incidence. Through numerical calculations, the report identifies the waveguide-type structure as the most robust option for oblique incidence. It further details rigorous electromagnetic simulations comparing the performance of cylindrical doublet metalenses constructed from micropost-type and waveguide-type meta-atoms. The findings suggest that the waveguide-type metasurface can enhance the off-axis performance of doublet lenses, potentially leading to improved lens performance in practical applications. The report emphasizes the significance of understanding the phase responses and transmission characteristics of these meta-atoms under varying angles of incidence, which is crucial for the design of effective optical devices.