Imagine Jimmy wants to know how to pin a topic on a Discourse forum. He searches Google for pin topic discourse or whatever, and he sees a result with a text preview saying "...icon in the upper right to get the staff menu for the topic; select Pin Topic."
That looks right, so he ends up here: http://www.phylobabble.org/t/discourse-admin-quick-start-gui...
That's a big post, so he Ctrl-F searches for "pin topic". Normally his browser would already be highlighting the text in the post, but nothing happens, so he tries clicking on the only result. This just refreshes the page and puts him back at the same post.
At this point Jimmy either leaves the forum to try another result that doesn't hijack his browser search, combs the whole thread manually, or mashes Ctrf-F enough that he discovers the Ctrl-F-F override and types "pin topic" again, instantly highlighting the section that he wanted all along.
My instinct when I'm looking for something is to Ctrl+F, not scour the UI for a search bar.
Anecdotally, I know people who are not programmers who are the same way.
Maybe a better compromise would be including a modal or a hint highlighting the site-wide search box without suppressing the native Ctrl+F functionality.