But we YECs don't operate by that assumption. We have a completely other model in mind.
It doesn't matter what model you have in mind. That does not change the facts, which your model does not take into account. You can't just create new facts.
Again you are assuming uniformitarianism and assuming conditions now, and assuming the whole evolutionist program.
Well, one can study population genetics in a fruit fly colony in the lab, create bottle necks, etc and watch it all unfolding right in front of you. There is no reason NOT to assume that a human population 4000 years ago would have behaved in a significantly different way in terms of population genetics. Also we have some pretty good data on Amish and royal family populations and we know what inbreeding can do (and they don't generally marry any closer than second cousins. Noah's grandchildren were FIRST cousins). Again you have to provide some evidence that population genetics followed a different set of rules since the parsimonius explanation is that the rules are the same now as then.
Mutation is pretty much IT, and that is full of holes.
Off topic so I won't pursue it except to say that you have never successfully argued that point and you provide no citation so we can safely ignore it as "facts not in evidence."
they still had relative health compared to us, quite dramatically better health.
Again, an assertion with no evidence cited. Anyway the state of health of Noah and his family would not have been good for long if a virus being carried by an animal had swept through their tiny population.