I think you're right that life's character selection is a random number generator that is in some ways predictable. But I think PRNG usually stands for Pseudo Random Number Generator, which in this context seems different. Almost as if you waited long enough, the same people would start appearing again...
I see what you're getting at, but I disagree; you can't really chose your parents can you. So from your point of view, however you end up when you're born, is actually completely random and out of your control.
Actually no, it's more like PRNG. Which stands for Predictably Random Natural Genetic.
Lack of save state is really bad though. Also humans are hard to grasp. Really poor UI.