I have no idea what you’re getting at here. The parent pointed out, accurately, that for large effect sizes, N=30 is plenty.

I’m also fairly certain you don’t understand what a “random distribution” is yourself. That’s because there’s no such thing. There’s a normal distribution, binomial distribution, Poisson distribution etc, and they all involve randomness. But there’s no “random distribution”.

So maybe you shouldn’t be quite so quick to judge “novice statisticians”, and what those imaginary people you mention a total of five times may or may not “wrongly assume”, or “don’t know”, or “are limited in”, or “don’t check for”.