You're right, I think. The language that's been at the centre of Mathematica for 25 years hasn't had a name of its own (it's just been "the language used in Mathematica"), but now it has its own name - the Wolfram Language. The Pi has an early pre-release version of version 10, whereas Mathematica is currently on version 9, and there are a number of additional features which will presumably be included in the release of Mathematica version 10.
Leaving aside the re-branding issues, it makes some sense for the language to have a separate name, because Wolfram intends for it to be used in web browsers and other places where there is no surrounding development environment (the Mathematica notebook and 'front end').
Leaving aside the re-branding issues, it makes some sense for the language to have a separate name, because Wolfram intends for it to be used in web browsers and other places where there is no surrounding development environment (the Mathematica notebook and 'front end').