Hi,
Thank you for all the details!
The page contents are not affected by our search plugin, that depends on your theme. When you asked, I thought you were referring to the search results – to hide the category descriptions or how the archive pages look, that needs to be changed via your theme.
If you are using a page editor like Elementor or Visual composer, then first try to look into the archive page templates. Those are usually editable and you can manually add/change text on the archive pages.