When performing a search on the documentation page it will only search/index the latest release and doesn't allow searching previous versions of documentation.
In the following screenshot you can see that I have the documentation version 1.20 selected, but the search results are all for https://docs.crossplane.io/latest/*
Algolia supports facets to index by other attributes, such as version.
https://www.algolia.com/doc/guides/managing-results/refine-results/faceting
https://www.algolia.com/doc/guides/managing-results/refine-results/filtering/how-to/filter-by-attributes