I don't believe that will happen, because that treatment would massively boost the economy. Nowadays we have to spend around 23 years until a person can be productive, then they have to learn to be more efficient, and in a few years they have children and focus less on their job. As well as they becoming older, losing efficiency until they retire and then they consume the resources of social security for twenty or more years.

Eternal youth would be so good to the economy that it would never be hidden.