Thanks for your reply!
I did watch more carefully the execution of my code and I can say that, if I comment the OnRep_ call inside the if, the replication happens only for the client who joined, not for the client who hosted the session. Looking for an answer in the internet, I found this RepNotify from c++ confusion. - #10 by Irascible, and I learned that OnRep_ isn’t called automatically for the local cilent that is running in the same process as the server (the case of a listen server), its only called in the connected clients. So its expected to call manually the OnRep_ in the server, after verifying its authority and its nature as a listen server.