This is an example of the Ecological Fallacy, sometimes called the Fallacy of Division:
A fallacy of division occurs when one reasons logically that something true for the whole must also be true of all or some of its parts.
This is a false statement that relies on a logical fallacy. There is no value in advancing an illogical claim. There is no value in advancing a false claim. The evidence does not show homo sapiens never experienced a population bottleneck to a single couple.
Remember, our ancestors as a whole include both homo sapiens, but also others. So @Lynn_Munter explains it correctly…
However, this is not the primary benefit at all.
I do not expect YECs will be happy with a single couple origin of Homo sapiens 200 kya. Rather, I think some may be intrigued by a recent genealogical Adam, which is an entirely different thing.
Rather, the primary reason to retract this claim is because it is absurd to confidently make illogical claims. There no value in advancing claims that depend on such clear fallacy. Moreover, difficulty in understanding why an illogical statement is logical is an opportunity to clarify our thinking on things. For example, it’s clear that @Lynn_Munter understands what the evidence is telling us in relation to this question, and it also clear that others are confused. Purging that illogical claim, by understanding its fallacy, is an opportunity to clarify our thinking here.