While investigating an IDOR issue in the Home Sweet premium theme, allowing arbitrary deletion of Ads, the Realia plugin was found to be the root cause.
In fact, having this plugin installed (which some themes require) can allow unauthenticated attackers to delete arbitrary posts, by submitting a malicious request with the post ID to delete.
In includes/class-realia-submission.php
add_action( 'init', array( __CLASS__, 'process_remove_form' ), 9999 );
[...]
public static function process_remove_form() {
if ( ! isset( $_POST['remove_property_form'] ) || empty( $_POST['property_id'] ) ) {