Obama's Party with (at?) Hilton

I've always wondered... Prague Castle is vast. According to some, this mile long castle is the buggest urban castle in the world. It's also beautiful. And romantic.

And so I've wondered... wouldn't it make a really great place to house foreign dignitaries and their entorages? When Bush and his 800 person posse was here he stayed at the Corinthia Towers. Obama and family and friends are rumored to be staying at the Hilton. Both are modern, steel and glass, luxurious, and utterly non-descript. They could be anywhere. But... actually... they aren't. They are both in less than prime parts of the city.

Of all Prague's Hotels I don't understand it.