Q: Can the navbar display a name different from the note’s actual name?
Yes. There should definitely be some disconnect between the title of a webpage and its name in the navbar. In fact, this is already employed by four of your standard webpages, as shown below:

$Name, which can in turn be overridden in the navbar by a third possibility, $blogNavName.- The exported title of your webpages will be determined by the note’s
$Name—unless$DEExportis true, in which case it will be$DisplayExpression. - Similarly, the title of a note as a navbar button will be
$Name—unless$blogNavNameis set, in which case it will be$blogNavName.
Reminder
To rename any of the “core” notes you see above, it is important that you change only its
$DisplayExpression, and never its $Name.