You can do exactly the same on an android phone packed with google apps (I'm not sure if you can pass the login process without a google account though), but by default it's not like this. In both situation, the apps aren't really removed if I'm not mistaken.

If I'm also not mistaken, you have the obligation to use the apple store to install app, so the app you are using are tracked. Even installing an app can give some very personal information (depending on the app of course).