Is it possible to add search pages created in /admin/config/search/apachesolr/search-pages to the default search index?

I'm using search pages to create pages that filter content using facets only with no search field. It works great, but I want to be able to add it to the search index so people can find this page via search.

Is it possible to do this?

The only way I can think of doing it at the moment is to create a custom block module that will render the search page in a block that I can then put on a node that does get indexed, but that seems to be a pretty roundabout way of doing things.