Your question is moot. Something is either the same direction or it is not.
You're simply being obtuse. Deliberately so, I think. Direction is a measurement, and any measurement has some level of precision to it. I'm pretty sure you're smart enough to already know that. The question I asked is about that: how precise are human beings with direction?
This question can be easily answered by noting that "human-measurable" scales regarding direction don't get any more precise than a 16 point compass rose. So direction in this case, is only accurate to within +/- 11 degrees. And that definitely puts any of the posited GK positions in the same direction as the TSBD, at least as far as the TP witnesses are concerned.
It's not that hard to understand, unless you simply refuse to. And you seem to be trying pretty hard to not understand.