I would take issue with the idea of a transitioner finally convincing themself of anything other than the futility of continuing to fight the need to live an authentic life.
If you take the time to read what is written in these forums over and over and over again about transitioning when you need to (need not have) you will understand that the need is not a function of age, so in that sense there is no difference between someone of 18 years of age who needs to transition and someone of 54 years of age who needs to transition.