I have a nearly-30cm-segment on the X c'some with a man with whom I have confirmed our shared ancestry, and I rather like the idea that that bit of my DNA comes from my ancestor Rebecca

(it has to be from her since we both have it, he's a man, and we're both descended from her - she is our shared ancestor, and as can be seen from the charts above, he could ONLY have inherited it from her, not from her husband).
But this other link, about whom I started this thread, is about a different sequence on the X and a different family and the more I think about it, the more I think that its absence on the males on this family means nothing in terms of where it came from. I think that segments on the X chromosone, when present, can help (as in my ancestor Rebecca) but their absence doesn't mean a thing.