Jira search is useless, you have to use filters and memory of dates to get a set of issues small enough for you to search manually.
The search in Confluence can best be summed up as "Here's a PDF". For some weird reason Confluence can search PDF sort of okay. It's typically not what you want, but because Confluence can search PDFs better than normal Confluence pages, PDFs are what you get in 75% of your searches.
Atlassians continued failure to deliver a half decent search feature in any of their products is fascinating. I honestly don't mind their products, they're fine for our needs, except you can't depend on search.