Not sure what you mean. The article pretty much bears out what I said - the original Pitcairn/Norfolk population was the Bounty mutineers, who effectively reproduced with their accompanying Polynesian women while ensuring by various means the accompanying Polynesian men could not reproduce. So 11 women, 9 men, and a baby.
Browsing the article linked, it appears to bear out my contention that this narrow gene pool did not produce any significant problems - the article mentions somewhat higher blood pressure and cholesterol issues, but nothing that appears to be colony-limiting, despite growing to several hundred individuals on Norfolk and Pitcairn.
But the trials in the mid-2000’s did reveal the culture of exploiting younger girls, by the adolescent and adult males. That, to me, seems to be a social issue not genetic.
But yes, I think the risks of genetic bottlenecks are overestimated. Perhaps another issue to consider, that the people involved with the Pitcairn situation had a lot more “pre-screening”. The bounty sailors were the survivors of appalling conditions in England which would have weeded out the less fit, then subject to even more tests of health working as sailors. The Polynesian lifestyle was likely only marginally better.
The standard model of human development for millennia was that the children were exposed to a range of diseases, and a significant number died in childhood. The survivors were the ones with the best health and best immune systems. There were also no insulin or glasses or hearing aids or preemie incubators or widespread caesarians or other medical aids to allow survival for people with difficulties. The generation that chooses to go to Mars in a few decades or more will have had progressively more medical tech over the previous over 150 years, to prevent weeding out of the less healthy in their family tree.
As for ratios, cheating, etc. - we assume that this will be like modern, huge anonymous western society. I suspect it will be more like an old-time village, unless we are talking thousands of people. Conditions, at least initially, will be very cramped. Opportunities for hanky-panky would be severely limited. The problem isn’t the cheating, but dealing with consequences. Plus, sexual tension is only one source of conflict. More likely, the issue will be how do you stop spousal abuse, murder, and pent-up anger that deteriorates into blind range and potentially colony-threatening sabotage?
(Even if you paired up everyone, how would you deal with losses like untimely death that would create unpaired colonists?)
While my male point of view makes me chuckle at the idea of “10-to-1” women to men ratios, and it’s good for a few chuckles, practically speaking - a polygamous or polyamorous society will never work long term. The traditional social structure is monogamous pairs (at least for a time). Polygamy only works with serious social power imbalances, and obviously falls apart after the first generation. Humans are designed mentally to pair and bond. both sexes can display extreme jealousy at sharing a partner or the perception, real or imagined, someone else is monopolizing their mate’s affections.
I’m sure the turkey baster and frozen sperm option is pretty good - but has anyone really checked on how long frozen sperm is good for? The first generation at best, I suspect. As for reproduction rates - until recently, 5 to 10 children was not unusual. Plus, once the older children reach about 10 years old, they can effectively also help care for the younger ones, a family role all too common until recently.