Currently, there is no information about the performance of membrane curvature. It would be nice to have a page in the documentation that addresses this matter. Although the idea is not very well defined yet, some guidelines for an initial version of the benchmark are:

• Performance over number of lipids in single-frame systems.
• Performance over number of frames with a fixed number of lipids.
• Keep the list of assumptions regardless of the approach.
• Consider dummy Universes.
• MDAnalysis uses ASV (Check code here)

Thanks @hmacdope, @lilyminium and @richardjgowers for the suggestions.