Same email for all comments

Just change to to address for these emails.

Sample code, not tested:

// hook in late, to avoid side effects.
add_filter( 'comment_notification_headers', 'wpse_73855__change_comment_notify_to' );

function wpse_73855__change_comment_notify_to( $input )
{
    if ( 'comment_notification_headers' === current_filter() )
    {
        add_filter( 'wp_mail', __FUNCTION__ );
        return $input;
    }

    $input['to'] = get_option( 'admin_email' );
    remove_filter( current_filter(), __FUNCTION__ );
    return $input;
}