Thanks again for your concern.
The complet CB menu created at CB installation is public and published, assign to a menu module without a position.
It shall also be noted that while I have this message"Vous n'êtes pas autorisé à voir le contenu de cette page !" (you are not allowed to see this page), the email is actually sent to the email address. The process is working, only the redirection to the page
www.sitename.com/connexion.html is the issue.
Of course if the user remove /connexion.html from the displayed url, he gets the access page of the site.
No change after update to CB 2.1.2
I am cloning the site to make further tests.