Well, you need to search for apps somehow (I guess the app library is always there, but seems a bit extreme to get rid of it). It would be nice to be able to hide certain apps from search, but I think it is already nice to hide the default suggestions that are there in Safari. Android offers way more customization, but not nearly as polished as iOS.
What do you mean by "It doesn't work for websites"? If you scroll down in the post you can see which settings you need to disable to show a clean "Search" screen on iOS