Thank you Krileon for your answer.
I wanted the access to the CB profile item menu to be possible only for registered, authors and admins but not for guests, under a "My Account" menu parent => that was the origin of my problem.
So, I moved the CB profile item menu to a hidden menu, set it for Public access, and created an alias below "My Account", keeping it visible for registered, authors and admins.
Now it perfectly works, thanks to you !!
See you
ND.