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I found the answer by myself, hehehe:
var srcRect = layer.sourceRectAtTime(0, false); <--- this gives you the layer's source rectangle at time 0. After that, you'll have in srcRect.left and srcRect.top the offset from the top-left corner to the layer's anchor point.
However, this is not exactly what I needed... yet. There's still a small difference with point texts: point texts have the anchor point UNDER the text line, and the position I got for box texts was right above the first line.
So the "y" position for my text would be srcRect.top - layer.sourceText.value.fontSize 
The problem with that is that if you resize the boxed text, the position and anchor stays the same, but are now "out of sync" with what you would expect them to be, i.e. the anchor is no longer at the center of the box, but at the OLD center of the box:
E.g. observe this:
Which shows the anchor in the center:
However, if you extend the text box both vertically and horizontally, you'll see that the anchor point and position stays the same, but the anchor is now not at the center any more:
So.. this is where the "magic" offset comes into place...
Again: the anchor and position is STILL the same, AND the .sourceRectAtTime() function returns THE SAME VALUES.
So, I had to do something fiddly like this to get the "hidden" offset:
function measurePhantomBoxTextOffset(sourceLayer)
{
function trim(s)
{
return (s || "").toString().replace(/^(?:\s*)(.*?)(?:\s*)$/, "$1");
}
// is it non-null, a text layer, and a boxed text?
if (sourceLayer != null && sourceLayer instanceof TextLayer && sourceLayer.sourceText.value.boxText)
{
var text = sourceLayer.sourceText.value;
// if the text is empty, we must first set something otherwise we're getting 0,0 for top,left
var wasEmpty = (trim(text.text).length == 0);
if (wasEmpty)
{
sourceLayer.sourceText.setValue("abcABC123");
text = sourceLayer.sourceText.value;
}
// Create a copy of it (where the anchor will be in the known centre position)
var layer = comp.layers.addBoxText(text.boxTextSize, text);
try
{
//AELayerUtils.copyTime(sourceLayer, layer); // apparently not required for measurement
//AELayerUtils.copyTransformation(sourceLayer, layer); // apparently not required for measurement
// This is not enough! (if some other font is selected, it will get the wrong value)
// layer.sourceText.setValue(sourceLayer.sourceText.value);
AELayerUtils.copyCharStyle(sourceLayer, layer);
var a = sourceLayer.sourceRectAtTime(sourceLayer.startTime, false);
var b = layer.sourceRectAtTime(sourceLayer.startTime, false)
return [ (a.left - b.left), (a.top - b.top), 0 ];
}
catch (err)
{
}
finally
{
layer.remove();
if (wasEmpty) sourceLayer.sourceText.setValue("");
}
}
// fallback for everything else
return [0, 0, 0];
}
(In this case AELayerUtils is just some helper methods)
Hm, I've not had a problem with it so far, but I only got into AE scripting in CC 2014..
PS: the half boxTextSize wasn't really any issue for me (even though the original post was about it): I am doing some custom text layout to get emoji support hacked in there somehow (in lack of multi-formatting in TextDocument) and the position was being thrown off with boxed texts that had been resized 
Now with this I'm on track again 
..momentarily; some new issue popped up now: Another day of chaos an AE scripting hehe
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