Aquagility, I am late on this one not having looked at the AB site until this morning.
The question of Aias v Ajax has (I did a search) come up before, viz:
http://www.theanswerbank.co.uk/Quizzes-and-Puz zles/Question448543.html
Unfortunately I don't know what the outcome was that time.
My personal view is to stick with the obvious i.e. Ajax
The question is - a) Do we think KM is that well-read? or b) Does she compile it out a computer program and is unaware which of the two is in more current use?
Difficult one to call!