For example, in the Russian Wikiquote Wikisource, the subpages of the documentation are called /Документация. When you run the TemplateData editor, it does not suggest parameters from the main template page.
https://ru.wikisource.org/wiki/Шаблон:Отексте/Документация - you can check on this page.
You can override the subpage name used by TemplateData using the message 'templatedata-doc-subpage', by editing this page: https://ru.wikisource.org/wiki/MediaWiki:Templatedata-doc-subpage. Here are some example overrides on other wikis: https://phabricator.wikimedia.org/T125222#4109035.
(note: you mention Russian Wikiquote, but you linked the Wikisource – make sure you're on the right project :) )