I have the precisin pad. Not sure if it's the same since I'm at work and I can't see your picture.
I took mine apart just for giggles. It's a piece of work and a real ---smurfette--- to figure out how it works without dumping the microcontroller programming or using an oscilloscope. As near as I can figure, and recall, about the controller. Only about half the buttons have a true ground as referenced by the ground line from the USB. One button has a ground, but it's ground as referenced by one of the I/O pins. The rest appear to use a collection of tricks. The others take a lot of guessing. One pair seems to share a 2.5V(haven't done the math on it yet) line. Another set seems to be determined by a pair of high speed dual diodes, the diodes probably act as filters for a pulse signal. In other words, it looks like some of the buttons are part of a very small matrix.
Of all the controllers to pick out. You picked out a difficult one. The easiest way to hack this particular controller is the simplest. Each button will get it's own pair of wires with no common ground. For a controller with ten accessable buttons, this translates to 20 wires that needs to be soldered and wired. You can take some shortcuts with the common ground wires, but keep it at the controller, don't bring it out into your control panel.