I assume your "choice" here refers to your "chose to examine,"
It's neither "my" definition nor is this exactly accurate regardless (although I believe that you are right in that this aspect of quantum theory DOESN'T give us free will, or at least shouldn't). Rather, that it is ONLY free choice that can give us quantum mechanics (and extensions thereof).
which I fail to see leading to your "therefore "free will" is written into the fabric of the cosmos." And even if it doesn't refer back to to your "chose," I fail to see the connection.
There is no reality if we cannot determine the manner in which we
decide or
choose to examine reality.
Not interested in the cause of the collapse, but its direction
If there is a cause, then by your definition it can't be "utter randomness". There is always and everywhere (regardless of interpretation) a cause, and never is any effect a "total lack of causation". This is contrary to the entirety of physics and renders physics impossible.
Okay, then why does the collapse of particle's superposition take one state rather than another?
GOOD question! But you are now asking "why is the
caused outcome the value that it is rather than one of those it is possible to be?" The cause doesn't change: the outcome is caused regardless of the actual outcome out of the set of possible outcomes. If it were a matter of "utter randomness" (using your definition) then quantum mechanics (and QED, QCD, particle physics, and other extensions) would be absolutely useless. We couldn't predict anything, and quantum physics DEPENDS upon our ability to predict. It
absolutely, fundamentally depends upon our ability to say that
given cause X, we can expect cause Y with Z probability. There is nothing remotely like "utter lack of causation".