@otto, welcome to the forums!
In addition to your link, a key place to look is here: Heliocentric Certainty Against a Bottleneck of Two?
These are great questions. There are a lot of people interested in these questions, and they require some time to fully address. I’ll try and separate them all out first; let me know if I missed anything.
Yes, we can do that. I’ll caveat the reasons why this will be a large underestimate of the bottleneck limit 10 kya later, but I’ll compute a range of them and get back to you.
That is correct. Looking at the TMR10A is a great thing to plot. I’ll be doing that.
You are right. Before we look at the data, however, think through what that would require. What would the date be that would be needed for TMR10A for this to be sensible? What should be the expected ratio between TMR4A and TMR10A under this hypothesis?
TMR4A per se does not rule this out, but other summaries of the data readily available to us do rule it out. Engage my earlier question to start to make sense of that.
We can and should look at other data too, to see what mutation rates we actually observe in the past, and how they line up with past events. There is an important body of work that presents a serious problem for the YEC paradigm, undermining any hypothesis of dramatically increased mutation rates in the last 10 kya.
http://science.sciencemag.org/content/343/6172/747
They build this website to display the results, which is really important to look at closely.
http://admixturemap.paintmychromosomes.com/
Notice this key and substantiated claim from the abstract:
We used this to produce an atlas of worldwide human admixture history, constructed by using genetic data alone and encompassing over 100 events occurring over the past 4000 years.
These are historical events that we know from historical records. Things like the Mongol invasion of China, and slave trade, and the Silk Road. They are identifiable in the genetic data, leaving an imprint they can detect, if and only if mutation rates are largely constant over the last 4000 years. You can see the data yourself on the website.
This is not TMR#A data, but it severely undermines any notion that rates were substantially different over the last 10 kya.