I am not sure if it’s possible to restrict this globally across your organisation, but you can ask people to add the --no-browser-login option to juju status.
I’m however fairly confident that they will not remember that and since its even less obvious why to include the command line switch, in a multi-user environment.
A means to turn that behavior off would be welcome in this context. I’m considering un-installing the xdg-utils to avoid this, but that will have other impacts on the system…