Search query getting confused about which values go with which conditions

I fear that this is not a bug or that it has already been reported, but I can't find anything like in the issues. I have OG 7.x-2.5 on Drupal 7.26 and am using og_access as the only node access module. For now all the group content is public, so it is visible to anyone, even anonymous users. I am just using the core search and the permissions are set so anyone can use search.

When anyone other than user 1 searches, no results are returned. I verified, using devel node access, that the content I am searching for is viewable by all. I used dpq() to print the search queries in node.module node_search_execute() like this:

dsm('node 1');
dpq($query);
// Only continue if the first pass query matches.
if (!$query->executeFirstPass()) {
  return array();
}
dsm('node 2');
dpq($query);

and in search.extender.inc executeFirstPass() like this:

if (!empty($this->words)) {
  dsm('fpq 1');  
  dpq($this);
  $or = db_or();
  foreach ($this->words as $word) {
    $or->condition('i.word', $word);
  }
  $this->condition($or);
  dsm('fpq 2');  
  dpq($this);
}

The results are below, but in summary, the search terms are getting injected into the node access part of the query. I'm not sure how to debug deeper.

SELECT
FROM
{search_index} i
INNER JOIN {node} n ON n.nid = i.sid AND EXISTS(SELECT na.nid AS nid
FROM
{node_access} na
WHERE (( (na.gid = '0') AND (na.realm = 'all') ))AND (na.grant_view >= '1') AND (n.nid = na.nid) )
WHERE (n.status = '1')

fpq 1

SELECT
FROM
{search_index} i
INNER JOIN {node} n ON n.nid = i.sid AND EXISTS(SELECT na.nid AS nid
FROM
{node_access} na
WHERE (( (na.gid = '0') AND (na.realm = 'all') ))AND (na.grant_view >= '1') AND (n.nid = na.nid) )
WHERE (n.status = '1')

fpq 2

SELECT
FROM
{search_index} i
INNER JOIN {node} n ON n.nid = i.sid AND EXISTS(SELECT na.nid AS nid
FROM
{node_access} na
WHERE (( (na.gid = '1') AND (na.realm = 'school') ))AND (na.grant_view >= '1') AND (n.nid = na.nid) )
WHERE (n.status = '1') AND( (i.word = 'school') )

node 2

SELECT
FROM
{search_index} i
INNER JOIN {node} n ON n.nid = i.sid AND EXISTS(SELECT na.nid AS nid
FROM
{node_access} na
WHERE (( (na.gid = '0') AND (na.realm = 'school') ))AND (na.grant_view >= '1') AND (n.nid = na.nid) )
INNER JOIN {search_total} t ON i.word = t.word
WHERE (n.status = '1') AND( (i.word = 'school') )AND (i.type = 'node')
GROUP BY i.type, i.sid
HAVING (COUNT(*) >= '1')

So if I use a search term of "all", I do get results, ha ha.

If I have two words as the search term, then the second one ends up also in the node access part of the query, e.g., na.grant_view >= 'student'.