Add this PHP code to the end of your child themes functions file to display all password protected content to logged in users :
add_filter( 'post_password_required', 'logged_in_show_password_protected', 10, 2 );
function logged_in_show_password_protected( $returned, $post ) {
if ( $returned && is_user_logged_in() )
$returned = false;
return $returned;
}
The code enables logged in users to view all password protected content without the need to logon with the password for the protected post/page.