I don't think so. I haven't watched this movie for a long time but I seem to remember that the kids age normally until they reach adulthood and then only they stop ageing. I believe you're thinking of Miri.
Any Immortality creates a problem with resources if the elderly stop dying, and keep eating when there's young that were expecting to be earmarked for that cornstarch.
Yes, that is the horror story of Miri.
There's only 600 people on Baku.
There must have been a lot of cousin fucking, if the original colonists have been ###ing and multiplying their base for three hundred years, yet there's still only 30 score. So if their base is doubling every generation, I'm thinking that most of the Baku probably must commit suicide after a few hundred years, or they left, because #### another day in paradise.
SOJEF: Actually, I was a good deal older when we arrived ...in terms of my physical condition.
ANIJ: There's an unusual metaphasic radiation coming from the planet's rings. It continuously regenerates our genetic structure. You must have noticed the effects by now.
PICARD: We've just begun to. ...I suppose you're seventy-five.
ARTIM: No. I'm twelve.
TOURNEL: The metaphasic radiation won't begin to affect him until he reaches maturity.
Okay, you're right, but that's ridiculous. There is no rational way that radiation can tell the difference between a "mature" person and a baby unless it was artificially put there, and it's state was manipulated/regulated by a third party of perhaps space gods.
Although if it's about building up to a critical mass, which is why the Sonar can't reverse their condition quick enough before they expire, it'd seem that Picard would also need to be planet bound for 30 years before his hair would grow back.
"Sigh"
Although if it takes 20 to 30 years to saturate a Baku or a Human, it'll take 20 to 30 minutes to saturate any given non specific sperm, or perhaps the Baku only have have a brief window of fertility between puberty and immortality?
600 people is an unsustainable genetic sample.
In BSG, 50,000 people is maybe not enough.
Although it's possible that they are "smart" to only make children when they need children so that their population stays at a desirable level relative to their environment, otherwise they would be constantly expanding their infrastructure like we have to on Earth.