Not sure if this sheds any light on the issue but it seems to be related to how long you play rather than who you play. I have started a couple games now that generate very well for the first generation but after playing for a little while the randomizer completely stops working correctly and reverts to dark skinned mother and teenage daughter and an Asian child son. It does seem to stop generating townies altogether after a while but im pretty positive that has to do with the game reaching its sim limit. I always go through and delete the extra elders and townies i don't want to save more room. If you delete families it will spawn new ones to replace them so the only reason it stopped spawning is because there were too many.
It has been doing the dark skinned family glitch since the game was released and it really is a big problem. It's already enough work managing your townies but we've also had to spawn our own instead of just getting to play the game. It shouldn't be this hard to get enough variety in your town to make it feel even remotely normal. I would love, at the very least, some confirmation that they are even working on this glitch because it's almost as game ruining as the twin glitch and male squinty eye and jaw glitch.
I would do anything to help them find and fix whatever causes this. And many other glitches in this game. At this point i would love the game if only anything in it worked properly. I've been wanting to somehow share my save or something because i've been told that can help them fix it. Although none of my glitches are save specific any one of my saves is chock-full of glitches that i would just love for them to look at and get a better understanding of.