In article ,
Nicolaas Vroom writes:

"But according to the laws of quantum mechanics, all of the information
about your body's build and function will prevail.

The relations between the atoms, the uncountable particulars that made
you you, will remain forever preserved, albeit in unrecognisably
scrambled form - lost in practice, but immortal in principle."
This seams like a simple text but it is very difficult to prove
that it is true.

One doesn't prove it directly, but proves the underlying assumptions,
from which it follows.

What means "body's build and function"?

Essentially all information about the body.

"according to our current physical understanding, information cannot
survive an encounter with a black hole."

The problem is what has the concept of "information" to do with
the physical evolution of a BH?

A lot. Again, and this has already been pointed out here, according to
GR a black hole is COMPLETELY characterized by mass, angular momentum,
and charge, so there is no record left of what went into it.

"the information paradox makes it aptly clear that physicists still do
not understand the fundamental laws of nature."

No it does not.

Yes it does.

The problem is we do not know the details of the physical processes
involved in the lifecycle process of BH's.

Unless you have some alternative theory which shows that information is
NOT lost, then the processes are irrelevant.

And IMO this has nothing to do with the information paradox
which is also not clear.

It's not a matter of opinion; it's a matter of using the terms like
everyone else uses them.