I'm really in two minds about this one!
On one hand, she seems to have really made sure that she stayed unidentified. Using a psuedonym is probably the main indicator of that, but what if her desire to stay unidentified went deeper than that and, as someone mentioned above, she had her breast implants removed so no one could identify her from the serial number?
But on the other hand, part of me thinks that she only intended to remain unknown for a short amount of time, for whatever reason. She took care to use a fake name and address, but how could she possibly have known that her IUD's serial number had become illegible? Maybe she just wanted to give the police the runaround for a while until they discovered her IUD in autopsy - I don't know, I'm really just thinking aloud here! I'm not sure what her reason for doing that would be.
But I've read through this whole thread today, and it's really got me thinking. This is the kind of unsolved case that I have the most interest in - it's a real mystery, and often it takes one small clue that was maybe before considered insignificant to solve the case. And then that lead me to think, if I was ever to commit suicide (and I never would), the way Mary Anderson chose would probably be the way I chose also (in terms of hiding my identity and leaving weird clues) - could she have been a fan of mystery novels, or true crime cases like hers would become? Maybe it gave her some kind of thrill to think that she was creating her own mystery. But I don't think it was her intention to remain a Jane Doe, because like I said, how could she be sure that no one could identify her from her IUD? Maybe she thought she was buying herself time between killing herself, being found, and then potentially being identified from the serial number for some reason - like she had family visiting from another country and by the time she thought she would be identified she would be sure they had gone back home so they wouldn't know what she had done? I don't know, I'm getting into a spiral of 'what ifs'!
And also in her note, when she said 'use my body as you choose'. The word 'use' to me says a lot about what she thought about herself - something to be used, maybe unloved or taken advantage of, or she was someone that people stepped on so to speak. When I first read her description I though escort or prostitute (I don't know that I believe that anymore though), maybe that's why she considers herself to be 'used'.
But 'use my body as you choose' also suggests to me that she thought her body would be used for research etc. after she was found - correct me if I'm wrong, but I don't think they would release an unidentifed body for research purposes would they? Wouldn't that be like destroying their best evidence?
When the courthouse across the street was being discussed a few pages back, I also considered maybe she was the victim of a crime (maybe a rape?) who faced her attacker in that court, and for whatever reason they were found innocent. Could that have set off her desire to take her life? It could also maybe explain why she didn't want to be identified - perhaps she hadn't told her family about the attack, or she was ashamed? But in my opinion that would have been something that happened long before her death, maybe she chose to kill herself on the anniversary in the hotel she stayed in while testifying.
Sorry I haven't really offered anything useful, I just wanted to share my thoughts on this one!