Main pages of some projects have special configurations of interlanguage links on the main pages. Among them French Wikipedia, German Wikipedia, English Wikipedia, and probably others. In particular, if a project limits the number of interlanguage links on the main page, then applying CLL on it creates a misleading result.
This task is for investigating whether Compact Language Links could be optimized for this use case. There are no particular suggestions at the moment, only a design and research task.