You are correct, there hasn’t been much written about the “great moderation” period from Austrian economists.
You might take a look at James Grant’s book, Money of the Mind.
The oil crisis analysis was done by Dwight Lee. I can’t find the citation, but he might have reproduced it in his book, Common Sense Economics.
Here is a Gordon Tullock article that presupposes the wealth transfer to the OPEC producing countries during the 1970s: