I’m reminded of a webpage that claimed to know your pin for your credit card; just do a find in page to see! In reality, it just had all 10,000 possible numbers listed in numerical order
But you could easily disable ctrl+f and throw up your own search box with keypress capture. Not all browsers show the search box outside of the browser viewport, and even for those that do (such as Chrome), you could display a hovering modal inside the viewport, as most users won't remember the exact location of the search box.