A grandparent once accidentally checked yes for their baby and was irrevocably fucked. No way to correct the record ever, that kid is permanently listed as a terrorist.
In the article you referenced they state that the baby was cleared after a trip to the embassy. The costs were because they needed to reschedule flights. But the baby was cleared to enter.
I meant there's no way to clear the ESTA ineligible flag ticking that box set, which means this baby will need to have an in person interview every time they want to enter the US for the rest of their life.