@andrestaltz Have you seen Rault, Pierre-Antoine, Claudia-Lavinia Ignat, and Olivier Perrin. "Distributed access control for collaborative applications using CRDTs." Proceedings of the 9th Workshop on Principles and Practice of Consistency for Distributed Data. 2022.?

That's a CRDT (and hence, lattice) for access control, including the problem of mutual removal iirc.