Did this thread just get moved? I thought I had posted on the more appropriate board ("DNA Autosomal") instead of the less appropriate one ("DNA General Research"). Oh well. Sorry.
I don't follow it completely either. As others have, they mention that Ancestry uses "phasing": "Unlike other companies, they phase the data from the get go — meaning that smaller segments are more confident and that they have many fewer IBS segments." This must be a different kind of phasing from the kind we've discussed earlier on these boards. ??? In any case, you're right. Until now, it has not made sense to me that we seem to get as many paper-supported matches from the low-confidence end as from the high-confidence end.