There is a fairly large gulf between you, a single traveller seemingly able to travel outside of peak periods, and a family of six trying to fly at peak times.I hope we are not all going to suffer because Ma and Pa Kettle can't get their family of six onto flights to America during the school holidays.
There are plenty of intermediate cases where it is also pretty much impossible to find award flights.
For example, there are many Qantas routes where there is not a single business or first class award in either direction across the entire calendar.