Ability for Omniseaarch to include contents of bottom and sidebar widgets

[ Moved to How-To and Troubleshooting, Omnisearch is a function of Jetpack. ]

I like Omniseaarch but it only searches text in posts, pages, comments, and media. It would be very helpful if it also searched text contents in the sidebar and bottom widgets. For example, if a URL has changed, I can use Omniseaarch to find it everywhere it is in posts, pages, comments, and media on the website to update it. But if I run a link check on the site, I’ll still get errors for the out-of-date URL because it is in one or more widgets, which aren’t searched by Omniseaarch. Then I have to manually go through each widget to find all the places that need to be updated. Please extend Omniseaarch to dig into the text contents of sidebar and bottom widgets.