In these days of conglomerate companies whose right hand can't tell what the left is doing, it's common in some circles to use a product name to refer to the part of the company that makes that product. Xbox, for example, is a common name among
the gaming press for the Entertainment and Devices division of Microsoft. Sony Computer Entertainment has occasionally referred to itself as PlayStation in the
"Dear PlayStation" ads. "Steam", for example, may refer to the division of Valve that develops its app store and game support services, as opposed to the "Source" division that develops games but can't count to three. And sometimes, a company even changes its name to that of its product line, like what
BlackBerry did at the beginning of 2013 to avoid more "RIM jobs" jokes.
Care to cite an example for your second statement?
If Steam wants to keep its safe harbor from copyright infringement lawsuits, it'll need to quickly pull any unauthorized derivative of Urban Terror after receiving a notice of claimed infringement from the Urban Terror team.