We can invent whatever we want, the reality is that we don't even know and can only make entirely theoretical assumptions. Our mind will do anything and will tend to adapt to any situation, generally you come to realise CBT when you lose everything and not because you have not achieved anything yet.
An empty, depressed person who has nothing to lose is unlikely to kill himself because he lives in that grey area where his mind and spirit are used to.
The father of a family, on the other hand, who loses his wife, who takes away his children, who takes away his house, and maybe even loses his job, might actually manage to kill himself. Or the person who stakes everything on school and work results, but fails, has failed, and goes for CBT.
But an empty person, who has nothing, will invent any excuse not to kill himself.