I do think there was some reason FS didn't want to be found, the same reasons she must have had when she jumped into the canal. Whatever it was must be a fascinating story we may never know. But as "Anastasia" she did seem to want lots of publicity. If she didn't she wouldn't have had the trial, wouldn't have gone to NYC, wouldn't have posed for all those pics like the parakeet ones.
I hate to be persnickity, but no about the parakeet picture. She actually refused to allow that one to be used. And I don't think that she actually "sought" publicity in the way that a modern celebrity does; after the claim was made it simply came her way as a matter of course. There were periods of her life when she blipped off the radar and lived quietly until something stirred the pot --- Marcelle Maurette's play Anastasia
, for example.
I actually think she found the publicity a bit unnerving, as anyone would, whether a Polish factory worker or a Russian Grand Duchess.
But if Summers and Mangold (to say nothing of Lovell) are to be believed, by the end of her life she found herself in the same trap as so many others who have achieved celebrity status. She needed
the attention, and that's why I think she began changing the Story at the end, to keep their attention focused upon her. It's sad. Since the identity of Anastasia Nikolaevna wasn't truly hers, she came to depend upon outside validation to keep herself together. So much of her behavior seems childish to me, and that is one of the clearest indications that her development was arrested --- whoever she was.