DeltaManager is used. 
When notifySessionListenersOnReplication is set to false, session replication is not done. 

This cause is in the following DeltaManager#handleSESSION_CREATED's codes. 
protected void handleSESSION_CREATED(SessionMessage msg,Member sender) {
...
    if(notifySessionListenersOnReplication)
        session.setId(msg.getSessionID());
    else
        session.setIdInternal(msg.getSessionID());
    session.resetDeltaRequest();
    session.endAccess();

}

When notifySessionListenersOnReplication is false, only session.setIdInternal is executed.
Session is not added to session map of DeltaManager in session.setIdInternal method.
As a result, session replication is not done. 

When notifySessionListenersOnReplication is false, 
I think that I should add session to session map of DeltaManager. 
For instance, as follows.

[start.]

Index: java/org/apache/catalina/ha/session/DeltaManager.java
===================================================================
--- java/org/apache/catalina/ha/session/DeltaManager.java	(revision 763870)
+++ java/org/apache/catalina/ha/session/DeltaManager.java	(working copy)
@@ -1435,10 +1435,12 @@
         // use container maxInactiveInterval so that session will expire correctly in case of primary transfer
         session.setMaxInactiveInterval(getMaxInactiveInterval());
         session.access();
-        if(notifySessionListenersOnReplication)
+        if(notifySessionListenersOnReplication) {
             session.setId(msg.getSessionID());
-        else
+        } else {
             session.setIdInternal(msg.getSessionID());
+            add(session);
+        }
         session.resetDeltaRequest();
         session.endAccess();
 

[end.]

Best regards.