So the article you refer to was written a few days after the election. Second, who is Bill Lawson, who wrote the article? What are his politics? And is there any other verification that SAD was known as “Ann”? This is the very first reference to her use of that name I have ever seen.
There have been countless “news” articles that were entirely fiction, especially around that time; like the fake article about the teacher’s “memories” about the doctor who supposedly delivered Zero - but with a bit of research, it was found that the doctor (who had conveniently died recently) had stopped delivering babies some years before he supposedly delivered baby Zero.
So your “proof” is not proof at all.
It is just as good of proof as relying on that same newspaper writer to establish that Ann was dead, and therefore there must be another "Ann."
But we don't need a newspaper column full of errors to figure out this one thing. No girl is going to want to be called "Stanley."
If your name was "Stanley Ann, would you want to be called "Stanley" or would you want to be called "Ann"? The notion that she preferred to be called "Ann" has the ring of truth about it. The alternative is quite contrary to human nature.