PDSMAN's Auto-Update facility can be used to automatically update the LLA copy of a member's directory entry when that PDS member is updated. PDSMAN does not treat LLA managed libraries any differently whether they are PDS's or PDSE's. PDSMAN uses the LLA interfaces and services.
Please note that PDSE's are of 2 types: Data and Program object.
Program objects are executable and can be managed by LLA.
Data PDSE's cannot be managed by LLA.
This is just the way LLA and PDSE work together.