I know that some folks do, and some don't. I only had a single clutch this year, and I didn't do any cooling. Those eggs pipped today, so I guess it worked out for me. I'll have 6 or 7 pairings next season and probably will not cool them.
That sounds exciting you should post up some pictures of them if they hatched, and if they are still in the eggs I would be glad to see them anyway