We have the feature of allowing the usage of an old RHF object as an initial guess to another RHF (e.g. small basis to larger basis or different geometries).
It is possible to have the same type of projection in CC theory: https://pubs.acs.org/doi/10.1021/ct100636a
This is a highly desirable feature in order to produce thermochemical protocols, such as Focal Point Analysis.