I do not know the original source for the claim that Mill was the
source for Hayek's view. Hayek definitely had very mixed views
about Mill, for unsurprising reasons. One sign of his respect is
that when he married his second wife, they followed for their
honeymoon exactly one century later to the day, day by day,
the path that Mill and Harriett took in Greece and Turkey. This
is from Bruce Caldwell.
Barkley Rosser