For one, out of curiosity, what is this hoping to achieve? I got a loose sense that Wikia wants to organize all templates by how they are specifically used. Where is this going?
What if a template doesn't fall into one specific type? There have been a few I've had to think about. For example, a template that is for data and navigation. Assume only the primary focus?
The non-"article" isn't quite specific enough. Are all template's not in the main (0) namespace supposed to fall here? Are pages in say the Project namespace not considered articles?
The "machine," as you will, classified every infobox, most of them as unknown. Why? I can't find any way of seeing all templates in a type. The new Insight page is useless because of this classification choice. The Insights pages states "The purpose of these templates is unknown..." Is this a collection of the templates classified as unknown or the templates that are not classified at all? If the prior, it doesn't (yet) work.
Types edits should be logged on Special:RecentChanges so we know when something was changed. If anyone can edit them, Admins and other editors should be able to see whether or not a random user decides to change them.
Those are my thoughts so far though I'm sure to have more later.
Edit: Ah yes. We should also have a separate type for template documentation, unless there's a simple desire for us to place these in non-article.