Not yet ready for macOS Catalina in your environment, but you’ve trained your folks to look at the Software Update preference pane to see if there’s available updates? One of the ways Apple is advertising the macOS Catalina upgrade is via the Software Update preference pane in System Preferences:
If you want to prevent that advertising banner from appearing, run the following command with root privileges:
softwareupdate --ignore "macOS Catalina"
You should see text appear which looks like this:
Ignored updates: ( "macOS Catalina" )
The advertisement banner from the Software Update preference pane should now be removed.