Content Type edit screen does not display Template tab

Using:
Drupal 6.10
Contemplate 6.x-1.0
CCK 6.x-2.2

If I go to admin/content/templates, I see the expected list of content types and links to edit or create templates.
If i go to admin/content/types, I get a "templates" tab which takes me back to admin/content/templates.

But if I go to admin/content/node-type/node-name-here, I get the "Edit," "Manage fields," "Display fields" tabs but no "Template" tab.

Based on documentation and memory of using Contemplate and CCK on a different D5 site, I expected to find a "Template" tab which would take me to a template filled with default code. Obviously, I can use the admin/content/templates link to get a blank template, but this is a complex custom content type and I was hoping for the default code to get me started.

Is there a different approach for D6? Or is there an administrative setting I'm missing? Or is there another contributed module that might interfere? Below is a list of other contributed modules I'm using. Any advice or even suggestion as to where to look would be deeply appreciated!

Advanced help 6.x-1.2
Ajax Load 6.x-1.2
Automatic Nodetitles 6.x-1.1
Computed Field 6.x-1.0-beta2
Content Profile 6.x-1.0-beta3
Content Taxonomy 6.x-1.0-beta6
Date 6.x-2.1
Devel 6.x-1.16
DraggableViews 6.x-3.2-beta5
editablefields 6.x-1.2
Email Field 6.x-1.1
Embedded Media Field 6.x-1.0
FileField 6.x-3.0
Finder 6.x-1.0-alpha10
Image 6.x-1.0-alpha4
ImageField 6.x-3.0
Masquerade 6.x-1.1
Phone (CCK) 6.x-2.8
Dynamic Field 6.x-1.0
Printer, e-mail and PDF versions 6.x-1.5
Token 6.x-1.11
Views 6.x-2.5
Views Bonus Pack 6.x-1.0-beta2
Views Bulk Operations (VBO) 6.x-1.5
Workflow 6.x-1.1
Workflow Fields 6.x-1.1