Debunking the claim that Aegon's children are fighting in the pits

First of all, Aegon is 20 years old. We're told that the children fighting in the pits are around 10 years old. If Aegon had a child at 10, that child would now be about 9-10 years old, which seems highly unlikely. Given this age gap, it's improbable that Aegon's children are involved.