My big issue with the hunt is that unswearing the oaths could easily be interpreted as removing the tie to the DO, thereby making the BA members no longer BA.

1) BA member unswears oaths.

2) Now former BA member swears AS oaths and says "I am not Black Ajah" - which is true, she isn't anymore.

I think some AS have said "I am not and have never been BA", but not all of them.