In response to your edit comment, the reason you can't always see every field of every template has to do with you using the (Now default, unfortunately) Visual Editor as opposed to the source editor used by most experienced editors on this wiki. When editing a "portable infobox" template I believe some arguments not listed under <data> tags won't appear in the visual editor. (I don't use it so I wouldn't know)
While we're at it I believe using the visual editor is what cause every infobox you created to appear stacked together when viewed in source editing mode.
If you view Montezuma (Civ6) in source mode you'll see what I mean by that. You'll also be able to add the missing fields. See Teddy Roosevelt (Civ6) for a properly formatted version of that template.
If these links still open in VisualEditor mode for you read up about the source editor to find out how to use it.
By the way since I heard you talk about data files, I just now made the initial upload of the game data files to the wiki in a form the wiki can understand and use directly on pages.
You can see them here and you can browse the rest of our lua modules here.
We'll be able to use these data modules to, for instance, generate lists and get exact number values. You're one of our top contributors to the Civ6 section (Great job and so very much appreciated by the way) so I thought I'd give you a heads up on that.
Don't hesitate to ask me if you have any questions. You can add me using the contact methods on my user page if you want a more direct way to talk.
By the way there's nothing wrong with you using the visual editor if you're more productive that way. The fields being stacked together is something easily remedied the first time that template is subsequently edited by a source editor user.