As per the description above, you are not getting the "Create Anonymous Link" while using the Adobe Send and Track service, Is that correct?
With the recent updates, the Name is changed to "Create link" and the functionalities is same. You can choose the "Create Link" option and can create an anonymous link.
Hope this helps and let us know if you need more assistance.
Even so, when I create the link and then open it my name is standing on the right side, I wouldn't call that very anonymous...