The similarities are there:
Fake Anastasia claims were made before DNA. DNA ultimately proved it to be a lie.
Fake Satoshi claims were made before chain analysis. Chain analysis ultimately will prove the lie.
Identity of a person is NOT based only on DNA.
It is construct of many things that are connected to life of specific person.
We know almost nothing about life of Satoshi Nakamoto.
A lot more things are known about life of Anastasia.