Thanks for the insight. Now we can discuss whether "home" means "screen 1" or if it means the "desktop app". Either could fit the word "home". Apple has so far chosen then second meaning.

Sure, we can discuss whatever we want. Of course, it's a screen 1. You can see it on any promotional picture. This, for example: http://www.apple.com/iphone/gallery/

What Apple chose is very clearly not the "first screen of apps". If that's what "home" meant to Apple then we wouldn't be discussing it, because that's all the "home" button would do.

Even if you go out through the window, it is still easier to come back through the front door.

Don't forget, when Apple gave it that name, there were no additional app screens, nor a search screen. Home was screen 1; there was no other option