I don't see any reasonable way they could have saved themselves besides something crazy like requiring every family member use a different feudal lord - one person gets Google, one person gets Apple, one poor guy gets Microsoft...
They had a separate claim that after the bannings and after the son admitted what he did, they received an email confirming that the accounts were banned for “child protection”
Received where? They just claimed all of their accounts were banned first, including linked recovery accounts.
Also where is the text of that email? Communications like that are key to legal matters yet it was only shared as a passing comment
The solution is to use a true business-oriented provider and not an ad agency for one's file and email hosting.