I would say that in this case
одних works much more like an article would and not as an adjective at all. You can't possibly say
Похоже, я встречаю жадных одних женщин. I guess there's a clever world for role of
одних in this sentence.
When you say that you would actually wonder why the second form is allowed, and not the first one. Of course you will say
the only greedy woman
only the greedy woman
одних as an article has an opposite effect of
the in English. So instead of meeting the only greedy woman you meet all women who are greedy.
P. S. And the second form will be actually discouraged in written Russian.