Guess what, many jews self-reported themselves to the authorities just to follow the process and that led directly to their death.
https://www.ushmm.org/online/hsv/source_view.php?SourceId=42...
Of course, this is old times now, but here is the same, there is no benefit to register, and you increase your risk to die.
Don't do it.
It is not like they had a choice. The article is about 1939, the events were well progressed then. Only very few were able to hide themselves and stay hidden for years.
When your own country is invaded, it changes the calculus.