The new "Get Support" tool only lists Apple products signed into any given Apple ID, whereas the old Support Profiles page allowed customers to add additional products, including those owned by others. The change is cumbersome for families in particular, as managing multiple devices is now more difficult.
The main concern is that users may only have one Apple ID associated with a given device at a time, so now the only way to manage multiple devices is to manually sign in and out of multiple Apple IDs on the website. While not a major problem, a number of MacRumors readers have emailed us with negative feedback about the change.
The change also prevents non-iCloud devices such as older iPods from being added to the list. Users can manage their devices on their Apple ID account page.