Nodeaccess module is incompatible with EntityFieldQuery

Enabling the Nodeaccess module causes non-public nodes to be shown when selecting nodes with EntityFieldQuery.

Here's how to reproduce (nodeaccess_bug_test module attached):

Install Drupal 7.12

drush en forum --yes
drush en ctools --yes
drush en views --yes
drush en advanced_forum --yes
drush en acl --yes
drush en chain_menu_access --yes
drush en forum_access --yes
drush en devel --yes
drush en devel_node_access --yes
drush en nodeaccess_bug_test --yes
drush cc all

Rebuild permissions

Create forum called "Restricted" and set it not viewable by anon users.

Create a published article
Create non-published article
Create General forum discussion node
Create Restricted forum discussion node

Assign forum_access_bug_test blocks to a region

drush cc all, just in case

Now, viewing a page with the admin user shows four nodes, as it should.
Viewing a page with an anonymous user shows two nodes, as it should.

drush en nodeaccess --yes

Rebuild permissions

Now, viewing a page with an anonymous user shows all four nodes. Access control
restrictions don't seem to apply anymore when using EFQ. Also, viewing the
unpublished article node at node/NID shows the node even though it's not
published. Viewing the forum node gives a 403 as it should.

I'm also getting this error: "Notice: Undefined index: article in nodeaccess_access() (line 91 of /Users/ErnoKaikkonen/Sites/d7_forum_access/sites/all/modules/nodeaccess/nodeaccess.module)."

Checking "Give node grants priority" makes no difference.

Here's the EFQ used in the test module:

	// $bundle is set to "article" or "forum"
	$efq = new EntityFieldQuery;
	$efq->entityCondition('entity_type', 'node', '=');
	$efq->entityCondition('bundle', $bundle, '=');
	$efq->propertyOrderBy('created', 'DESC');
	$efq->addTag('node_access');
	$efq->range(0, 10);
	$nodes = $efq->execute();