I think this is more a general question about the search widget (and also archive widget).
If there are none widgets in the right sidebar, by default WordPress shows the search widget and archive widget?
I have a site with different category pages. On one page (Tutorials) I don’t want any widget been shown. I use a plugin to disable the widgets on that category page, but it still shows the search and archive widget…
So maybe I have to ask the plugin developer, but for my understanding is it correct that the search and archive widget is always shown, unless nothing is in the right sidebar?