John,
I shouldn't answer the specific question on aeration, but most courses around here do it at least twice a year, and some up to four times a year, maybe more. When I worked at a course for the summer so long ago, we had clay greens and were trying to convert to sand via aerification - taking out the plugs once a month and replacing with sand. That year, there were holes all the time. So, it varies.
Your comments have that same tinge of "super doesn't know what he is doing" and sound like the "typical member after a few cold ones" today. I don't know enough about the situation to comment intelligently, but will side with the super over these kind of comments until I do.
If he generally keeps them well, but suffered for brief periods, do you really think he forgot everything he knows? Chances are, one of his educated guesses (that all supers make every day) was wrong initially. Some possible issues include various bugs and neamtodes, fungus, etc. or water quality which can stress greens in tougher conditions. These are not always easy conditions to assess immediately. Even "ramping up" conditions for big events at the wrong time agronomically can be very stressful to turf, but sometimes necessary.
Please consider that the climate is just tough this year. The USGA Green Section did a study of dead greens some years back. About 2% of US courses experience some dead greens every year. Most years showed concentrations in certain regions (yes there were some dreadful mistakes) where there had been unusually difficult weather - either ice from the winter, but mostly heat, humidity or drought during the growing season.
If your super is recommending more fans, it seems he believes its an air circulation problem, which is VERY common. Look around to see if the suffering greens are all tree surrounded, or in valleys or other areas where the wind is still. Then you can report back to us with a more informed complaint.
BTW, if members wouldn't complain, I would say its a great time to de-tree a few greens in the name of better turf.