I’m not sure I fully understand your question, but to add some HTML (just over or under the submit field) that is visible to both logged-in and logged-out users, you can try the following:
add_filter( 'comment_form_submit_field', function( $submit_field )
{
//-----------------------------------
// Adjust the prepend to your needs
//-----------------------------------
$prepend = '<p> Prepend some HTML </p>';
//-----------------------------------
// Adjust the append to your needs
//-----------------------------------
$append = '<p> Append some HTML </p>';
return $prepend . $submit_field . $append;
} );
Other workarounds are possible, like the comment_form
action.
There are some comment-form filters that are only available to logged-out users, like the
comment_form_before_fields
comment_form_field_{$name}
comment_form_after_fields
So most likely you’re trying to hook into those filters – but you haven’t mentioned what filters you’re using.