Extremely not tested, based on overriding the global “users must login to comment” option (comment_registration) for a specific post
function wpse208664_option_comment_registration($v) {
if (is_single() && (get_the_ID() == your specific post ID))
$v = 0;
return $v;
}
add_filter('option_comment_registration', 'wpse208664_option_comment_registration');