Hi Ernest!
Thank you for your quick support. Yes, exactly, I want to display some of the tablepress table data around the search hit term in the live search preview. The idea here is that the table is for phone numbers, and if the information needed shows up on the live preview, users will not even have to click through to the actual table page.
I tried the option you ask, and did an index rebuild, and all it did was give the shortcode as the preview. See attached screenshot: