NoNumber company use a specific "experimental" installer that use another component extension to install the target extension. In the nonumber distribution package, the installation does not contain the name of the one finally installed. This is the reason why JMS Multisites report you that it is not installed in the master.
See a very old post in the forum that explain such problem with nonumber
www.jms2win.com/forum?func=view&id=582&catid=3
With the benefit of the JMS Multisites Tool menu, you can install the extension without using the author installation.
The Advance Module Manager is defined in the JMS Tool menu.
So if you go in the JMS Tool menu, you can select the slave site where you want to install the "Advance Module" component and its plugin "System - Advanced Module Manager"