docs: Enforce consistent naming to reduce confusion (#1567)

Author: bencodezen

packages/docs/docs/theme/default-theme-config.md

@@ -327,10 +327,10 @@ search: false
 ```
 
 ::: tip
-Built-in Search only builds index from the title, `h2` and `h3` headers, if you need full text search, you can use [Algolia Search](#algolia-search).
+Built-in Search only builds index from the title, `h2` and `h3` headers, if you need full text search, you can use [Algolia DocSearch](#algolia-docsearch).
 :::
 
-### Algolia Search
+### Algolia DocSearch
 
 The `themeConfig.algolia` option allows you to use [Algolia DocSearch](https://community.algolia.com/docsearch/) to replace the simple built-in search. To enable it, you need to provide at least `apiKey` and `indexName`: