I was wondering, does the first page has to be the home page?

For example I am designing a site where when you first load it, the main content you see are three boxes which you click on and they take you to other pages, a bit like navigation buttons, something like this wireframe:

Now ones you get deep in the website, you expect a home button to appear. I has thinking that the above design would be fantastic as the first page users see. But isn't it pointless for it to be the home page? As similar links offered in those three boxes would also be accessed from the top navigation

I have seen three boxes used in this way, but do you think having that as the homepage (people come back to) is pointless - or am I just wrong and a homepage like that is fine?