I posted a global form of this earlier on a similar question.
Create plugin at hook: newthread_form_complete
PHP Code:
//Hook: newthread_form_complete
global $show;
$show['additional_options'] = FALSE;
This will be effective on all styles. Additional conditionals should be added to exclude styles or user-groups. Really no need to edit the template, but good work @arrarrgee

and thanks for sharing.