Requested in #9660.
Mentioned at https://github.com/WordPress/gutenberg/issues/6392#issuecomment-419289220.
Consider adding the post type (e.g. Page, CPT name, or the date for posts) on the right for suggested links similar to how the classic editor does:

Example screenshot from #2084 showing how post types are listed in link suggestions in the classic editor.
I would love this - even better if there's a way to build it into the REST API search endpoint as a "Secondary Search Context" label (or something like that) which could be filtered so post types could provide their own helpful string, similar to how the built-in "Post" post-type shows a date instead of the post type name.
+1 for me.. Sorry to open my own issue for it!
https://github.com/WordPress/gutenberg/issues/16534#issuecomment-510464477
There are some mockups that relate to this on #8573.
This has been implemented. For reference:

Most helpful comment
I would love this - even better if there's a way to build it into the REST API search endpoint as a "Secondary Search Context" label (or something like that) which could be filtered so post types could provide their own helpful string, similar to how the built-in "Post" post-type shows a date instead of the post type name.