Unhosted sites and sites with Basic hosting will show sample search results on your published site - which you can show to clients to give them a sense of how their search experience will look. To see real search results, you’ll need to add CMS or Business hosting to the site.
Not sure what the issue is. The pages are static but based on what I have read site search should work for static content.
Site search settings
You can control what content displays for the search title in the Page Settings for all of your site’s static pages and Collection Pages.
I can try to re-index but since it’s one time per day, I’d like to make sure the issue is fixed before publishing.
The users in the thread stated that search won’t work if the site is password protected and that once unlocked and re-indexed, things worked. this site is password protected so I see that is the issue.
By default, everything on your site (excluding Symbols, Collection Lists, Utility Pages, and password-protected content) is indexed when you add search, and so users can discover this content when they search for something.