>Note: "One Drive" and "One Drive for Business" are totally different. The stuff connected to "Office 365" is the business stuff and it's really some friendlier front-ends on some kind of Cloud SharePoint thing...

From the link: "We’ve started rolling this out today to Office 365 Home, Personal, and University customers." I'm using Office 365 University and it definitely is the normal "One Drive" (just offers more space for it). The branding here seems a bit confused.