Mass 3D digitization of heritage objects is today heavily encouraged by various institutions. This is in an effort to measure and document objects for the future, use them for visualization and dissemination, and open up for the analytic tools that are available for 3D meshes. However, the structure required of a mesh depends heavily on the application, and the data might vary significantly based on the digitizing institution, object characteristics, and acquisition workflow. In this work, we sample 3D data stored in several major open-access databases for 3D heritage data and analyze the content. We take a close look at sampled mesh structures by computing various graph metrics, check some integrity measures, and evaluate their possible future use. Finally, we provide an overview of the use cases and interoperability of the meshes depending on results from the mesh structure analysis.