I believe an interface is touch based if you use an object to touch the screen to interact with the interface. Mice do not have this property. Given the downvotes I imagine people at HN disagree with this notion, but here are some links that suggest that there is a part of the world which considers stylus based devices as touch based.
Not only are you wrong, but your links are to vendors of pens that emulate touch. The vendors aren't arguing that "style = touch" but that "our stylus works on touchscreens" (as opposed to styluses that work on pen-based systems).
The fundamental idea of the iPad is that you don't need something else to make it work. It isn't that you mustn't use something else.
The third link was not from a vendor. Here are some non vendor links:
[1] http://en.wikipedia.org/wiki/User_interface - "Touchscreens are displays that accept input by touch of fingers or a stylus. Used in a growing amount of mobile devices and many types of point of sale, industrial processes and machines, self-service machines etc."
Why not quote Wikipedia's article on "Touch Screen": "A touchscreen is an electronic visual display that can detect the presence and ___location of a touch within the display area. The term generally refers to touching the display of the device with a finger or hand. Touchscreens can also sense other passive objects, such as a stylus."
Oh wait, because it doesn't suit your purposes either.
