Yes - one can use considerable expertise and ingenuity to argue whether the population genetics model supports a particular contention or not. That’s the nature of this thread.
But the question of whether the model itself is adequately valid over such timescales, given its known limitations and the state of flux of theories of large-scale evolution, is a significant one.
“All models are wrong - some are useful”. But their utility is only measurable by the ability to validate them by independent observation under the situation for which they are being used - in this case the origin of humanity defined, at least, as our species or even across hominin species by some protagonists. That’s very different from studying the evolution of Y-chromosomes in the living population.
In this case, validation would seem to require counting fossils that are as rare as hens’ teeth - in the absence of physical evidence, the population genetics model seems to validate itself in a circular manner.