What I read above is true and also it's extremely difficult to hunt ANY place totally out.
In fact I wonder if it is even possible.
I have places I've hunted for many years and every time I return to those sites I dig another silver coin or Indian cent or something much bigger.
Even today with our deeper better machines, people still hunt crappy. I see them from time to time and I'd swear they're cropping down weeds instead of detecting.
Here on TreasureNet we have a group of really serious hunters. We're the great exception to the rule.
Your experience at that fair ground is very good but not really that unusual for me if I bother to hunt such places. My thing is history so I hunt mainly relic sites. Back years ago I wanted only coins and I still have them all over the place in boxes. Today a horseshoe (or vintage coin, buckle, etc.) dug at an historic old west location means more to me than a seated dime from just anywhere. Odd ball...right?
If you're hung-up on finding old coins and history doesn't matter much to you, then go and hit all these "hunted out" fairgrounds/carnival grounds/parks and you'll have a pile of old coins before you know it.
Most of these coins are less than 6 inches deep. One park I've taken loads of Barber dimes from produces Barber's and Mercs at 2 to 4 inches. Like I say, people hunt crappy today.
Badger