@snorkelitzor: Aww yes! Sounds good to my ears as well. Yeah, the inversion is unlikely to matter, in fact HT2's output is reverted from TI's standard, so you're basically putting it back to "normal" Btw a side benefit of this would be that you can have your headphones plugged in at all times (even during normal TI-OS operation), provided no voltage is flowing back from the amp to the TI.
@nonfinite: ...and so it begins Small note, perhaps you could modify the text on the SilverLink a bit, because actually users should avoid installing the official TI Connect software, as it doesn't work with TI-82 and has limited functionality in general. So TiLP should be the first choice, unless you're on OS X where TiLP is known to currently not work properly.