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When you edit a template, TemplateData adds a
   [Manage template documentation]
button which takes you to a "Template documentation editor" dialog.

but on many WMF wikis, templates use something like Template:Documentation to transclude documentation, so users will have just seen a
   Template documentation [view] [edit] [history] [purge]
line.

It's quite confusing (and if you edit Template:Documentation itself... INCEPTION :) ). Neither has a Help link or "What's this?" tooltips explaining the difference.

The terminology should be changed to "Manage template parameter information". Perhaps Template:Documentation could detect that TemplateData is around; ideally Template:Documentation could be rewritten to show the <templatedata> description and parameter information ("Don't Repeat Yourself").