IMO, when people deconvert, it is not because they all of a sudden started to use logic, it is more because the psychological need they had to ignore logic, has waned and they then become more aware of why they can no longer reconcile the belief they had, with reality.
When they believed, they likely knew this logic existed, they just denied the same, because the psychological need was strong enough to create defense mechanisms; denial, confirmation bias, selective reasoning.
IMO, if you present sound logic to someone with a strong enough psychological need to believe something, it will not make a bit of difference, until that psychological need changes.