Absolute baloney. In the sixties, Greenspan was, indeed, a follower of Rand; even to the point that he wrote what is still considered a classic defense of the gold standard. But, by the nineties, in his capacity as Chairman of the Fed, he'd already abandoned his Objectivist views.
His career from then on was marked by printing money to keep the large banks afloat and thereby manipulate the economy. To associate that with Rand is ignorant and facile.
YOu are right - Greenspan even wrote 3 of the 15 chapters in “Capitalism: the Unknown Ideal”
I don’t think Rand had anything to do with Fed ideas, but they had a lot to do about his “deregulation” ideas. He cited them when approving the 2000 act that forbade regulation of dervitives.
The market and businessman as superman stuff, regulation is religiously abhored.
Guys like Greenspan are just useful libertarian idiots for the big money.