What can you do on your Apple iPhone without Apple servers? Hint: it's nothing.
But of course you're right - you can use the web fine, provided the modern web apps you're using aren't crippled by Apple's slow API adoption in Safari, which is of course to drive you to the better experiences that are waiting for you in the hypothetically accessible App Store.
The Apple devices I use that are too old to talk to Apple's servers disagree with you.