A convicted sex-offender who most recently spent two years in prison after being found guilty in a fatal hit-and-run accident? An article about his arrest on that charge said "Spivey, a registered sex offender, has had several run-ins with the law. He has been arrested on a number of charges dating back to February 1995, including burglary, grand theft, DUI and lewd and lascivious molestation."
What that speaks of is a person who has no regard for authority in general. It speaks of someone who believes that rules are for fools, and I suspect he passed that attitude on to his son pretty early on in life. Such people will be quick to find ways around the supposedly unnecessary rules for overhead training.
I have read so many reports about this incident that I have lost track of where I learned what, but apparently the lack of training was a conscious decision based on finances. With limited financial resources, they had to decide how to spend their money--training or equipment. They were apparently quite open about the fact that they could not afford both and so had to make a choice, and that choice was equipment. Most technical divers have to make similar choices throughout their progress in the sport. Most make the opposite choice. They start the training and then pick up the equipment a little at a time as they can afford it. That's how I and everyone I know did it.
So, other than their predisposition to ignore authority, what made them different? Might online forums like this one have had an influence?
They apparently made references to reading online scuba forums, with Cave Divers Forum specifically mentioned. There is a good chance they also read ScubaBoard. If so, their "rules are for fools" attitudes would have gotten plenty of support and helped them decide not to get any training. ScubaBoard has over the years had a number of prominent users who mock people who get formal training, arguing that just diving or just finding a Mentor, someone who is not an instructor, will teach you more about diving than wasting money on formal instruction.
Two of those come to mind in relation to cave diving. They have repeatedly scoffed at the need for training, arguing that untrained divers are no more likely to have accidents in caves than trained divers. They have said that the skills required don't take any special training. One of those who has been very active in promoting the "no need for training" cause participated in this very thread early on, arguing that position before having his posts deleted by a moderator. They get upset at people who talk about the dangers, and they accuse certified cave divers of elitism for their belief that training is necessary.
Were this father and son persuaded by those arguments? I have no idea, but I can't help but wonder.