I've never heard the phrase "functional integrity" used that way
before. "Functional integrity," as I've heard it used, makes the claim
that creation was designed so that there was no *need* for God to
miraculously assist creation to achieve the sort of rich complexity we
see today. (I think it would be fair to also substitute the words
"miraculously assist" in the previous sentence with "subtly guide many
different times such that the cumulative effect becomes statistically
obvious in hindsight.) Within FI, there remains a range of options for
how and how much God guided physical and biological history to a
*particular* complex outcome. You're limiting the term FI for one
particular end of that range, but I think the term was intended to cover
the entire range.
Loren