I feel like it's not just being tech-savvy though. He seems to lack basic common sense.
Why would you assume that a free car giveaway would necessitate you paying transfer fees, why wouldn't that have already been pre-arranged. After all it's a Tesla car presumably Tesla the ones who are going to deliver it. Additionally why would the competition be exclusive to a niche Facebook group and not a national campaign. It all just seems very obviously a scam.
My parents aren't particularly tech savvy and often send me AI garbage but they wouldn't be easy marks because both of them have critical thinking skills, or at least my mother does. But my dad has learnt to do what he's told.