AddThis button does not appear if links are excluded in node.tpl.php through theme

As I've attempted to debug this myself, I added the following code bock to the addthis_link function:

syslog(LOG_WARNING,"$" . "type = " . $type);
syslog(LOG_WARNING,"$" . "user_access for view addthis = " . user_access('view addthis'));
syslog(LOG_WARNING,"$" . "teaser = " . $teaser);
$node_des = print_r($node,'t');
syslog(LOG_WARNING,"$" . "node = " . $node_des);
syslog(LOG_WARNING,"$" . "addthis node type = " . variable_get('addthis_nodetype_' . $node->type, 1));
syslog(LOG_WARNING,"$" . "add this display in teaser = " . variable_get('addthis_display_in_teasers', '0'));
syslog(LOG_WARNING,"$" . "add this display in links = " . variable_get('addthis_display_in_links', '0'));

Here is the output from syslog when I load the blog page:

2010-01-20 19:48:32.102999500 local7.warn: Jan 20 19:48:32 drupal: $type = node
2010-01-20 19:48:32.103879500 local7.warn: Jan 20 19:48:32 drupal: $user_access for view addthis = 1
2010-01-20 19:48:32.104604500 local7.warn: Jan 20 19:48:32 drupal: $teaser = 1
2010-01-20 19:48:32.106044500 local7.warn: Jan 20 19:48:32 drupal: $node = stdClass Object
2010-01-20 19:48:32.106051500 (
2010-01-20 19:48:32.106055500 [nid] => 15
2010-01-20 19:48:32.106058500 [type] => blog
2010-01-20 19:48:32.106062500 [language] => en
2010-01-20 19:48:32.106066500 [uid] => 5
2010-01-20 19:48:32.106070500 [status] => 1
2010-01-20 19:48:32.106078500 [created] => 1263965888
2010-01-20 19:48:32.106084500 [changed] => 1263966202
2010-01-20 19:48:32.106088500 [comment] => 2
2010-01-20 19:48:32.106092500 [promote] => 1
2010-01-20 19:48:32.106888500 [moderate] => 0
2010-01-20 19:48:32.106892500 [sticky] => 0
2010-01-20 19:48:32.106896500 [tnid] => 0
2010-01-20 19:48:32.106900500 [translate] => 0
2010-01-20 19:48:32.106904500 [vid] => 15
2010-01-20 19:48:32.106908500 [revision_uid] => 5
2010-01-20 19:48:32.106912500 [title] => And now the good news...
2010-01-20 19:48:32.106916500 [body] =>

As I was completing the previous post, two interesting news items flashed on my screen.  The first is the decisive victory of Republican Scott Brown in the race for the Senate seat previously held by Ted Kennedy.  The second is the deal President Obama has forged to establish a budget commission to develop a plan to begin reducing deficits.  (The link to the article requires registration with Washington Post, free of charge.)  

2010-01-20 19:48:32.107038500
2010-01-20 19:48:32.107042500

Brown's victor...
2010-01-20 19:48:32.108629500 local7.warn: Jan 20 19:48:32 drupal: $addthis node type = 0
2010-01-20 19:48:32.109436500 local7.warn: Jan 20 19:48:32 drupal: $add this display in teaser = 1
2010-01-20 19:48:32.110239500 local7.warn: Jan 20 19:48:32 drupal: $add this display in links = 1

And here is the same output where a page is loaded and the AddThis button appears:

2010-01-20 19:51:22.133982500 user.warn: Jan 20 19:51:22 roundcube: $type = node
2010-01-20 19:51:22.134868500 user.warn: Jan 20 19:51:22 roundcube: $user_access for view addthis = 1
2010-01-20 19:51:22.135577500 user.warn: Jan 20 19:51:22 roundcube: $teaser =
2010-01-20 19:51:22.137039500 user.warn: Jan 20 19:51:22 roundcube: $node = stdClass Object
2010-01-20 19:51:22.137046500 (
2010-01-20 19:51:22.137050500 [nid] => 2
2010-01-20 19:51:22.137054500 [type] => page
2010-01-20 19:51:22.137058500 [language] => en
2010-01-20 19:51:22.137062500 [uid] => 1
2010-01-20 19:51:22.137066500 [status] => 1
2010-01-20 19:51:22.137069500 [created] => 1259007854
2010-01-20 19:51:22.137073500 [changed] => 1259423138
2010-01-20 19:51:22.137078500 [comment] => 0
2010-01-20 19:51:22.137081500 [promote] => 0
2010-01-20 19:51:22.137951500 [moderate] => 0
2010-01-20 19:51:22.137956500 [sticky] => 0
2010-01-20 19:51:22.137960500 [tnid] => 0
2010-01-20 19:51:22.137964500 [translate] => 0
2010-01-20 19:51:22.137968500 [vid] => 2
2010-01-20 19:51:22.137972500 [revision_uid] => 5
2010-01-20 19:51:22.137975500 [title] => Charles N. Steele
2010-01-20 19:51:22.137980500 [body] =>

Charles N. Steele is the Herman and Suzanne Dettwiler Chair in Economics and assistant professor at Hillsdale College in Hillsdale, Michigan. His publications include papers on the Soviet economy and economics of transition, economic growth, and institutional change.  He received his Ph.D. in economics from New York University in 1997, and has subsequently taught economics at the graduate and undergraduate levels in the People’s Republic of China (China Agricultural Universi...
2010-01-20 19:51:22.139422500 user.warn: Jan 20 19:51:22 roundcube: $addthis node type = 1
2010-01-20 19:51:22.140140500 user.warn: Jan 20 19:51:22 roundcube: $add this display in teaser = 1
2010-01-20 19:51:22.140939500 user.warn: Jan 20 19:51:22 roundcube: $add this display in links = 1

I can see the difference between the two but I'm relatively new to drupal so I'm yet at a loss as to *why* there's a difference, or more, how I can fix the problem.

Thanks,

Jeff Ross

I did all the debugging I knew how and made no headway so I switched to AddtoAny which is working as I'd expect it.