Well I'm still of the mind that following Jabba down his absurd "Equations" rabbit hole was a bad call to make.
It certainly has its disadvantages. But anyone like Jabba who is willing to flagrantly break the rules of intelligent, civil debate is going to have all kinds of temporary advantages that his critics -- more conscientious than he -- forego. I'm not saying your wrong. I'm saying there are reasons the debate often must go in the way it does.
Fringe arguments are based largely on vanity. There is the vanity of the proponent, which we've discussed at length. But there is also the vanity of the reader. A successful fringe argument such as a conspiracy theory or a religious apology purports to teach the reader something he did not already know. The claimant styles himself as the teacher, ready to elevate the reader's knowledge above the rest of the sheeple. A 9/11 conspiracy theorist purports to know all about airplanes and buildings and fires. An Apollo conspiracy theorist promises to know all about radiation and shadows in photographs. Jabba purports to know all about statistics (in this case) and about old linen (in the Shroud case). In that latter case he was able to convince quite a number of Shroud fans that he was well versed in the sciences and could take those pesky skeptics to task. He wasn't, but the Shroudies didn't care.
The reader who represents the target audience ends up being grateful to the claimant for having enlightened him on the additional facts that make the mainstream or intuitive interpretation seem inadequate. The reader almost never fully understands the sophisticated argument, and isn't likely to try to verify or validate it because it seems to supply intellectual support for something he already believes. That's where vanity plays in. The reader believes he stands above his peers in knowing additional facts and in using those facts to support a nonstandard belief.
Obviously this ploy requires a naive audience, because the proffered explanation is almost always mostly crap. As you note here, Jabba's model is nonsense and further populated with made-up figures. But Jabba's intended audience will never have heard of Bayes' theorem, or have much if any knowledge of statistical modeling and reasoning. That leaves Jabba free to fill their heads with pseudomathematical gibberish that they're told is a proof for immortality. It looks impressive with all that math, resembling the derivations they may have seen in scientific papers or textbooks. They won't understand why it doesn't work, and won't care because it pleases them to believe they've been "instructed" in how statistical reasoning can justify their religious beliefs. And they'll appreciate Jabba for providing that.
Now what happens if no one addresses the statistics? It's certainly one thing to say, as I have in my fatal-flaw post, that Jabba commits a host of elementary logical fallacies that have nothing to do with his statistics errors. That satisfies some. But what happens in this pattern of argumentation is that the claimant then falls back to the purportedly expert argument and accuses his critics of being too unsophisticated to see how the proof really works. They'll say things like the math or the physics doesn't lie -- and properly done, neither does. Jabba has made exactly the argument that while it looks like he has committed fallacy, it's actually accounted for in the math. It isn't, but we still have to show that it isn't. Leaving the straw man untouched lets the claimant continue to pose it as a formidable foe that his critics are apparently not empowered to overcome.
Jabba naturally wants to have the discussion be all about math and niggling details instead of the big picture he knows he can't win. If he remains in the obscure details of statistical modeling, he stands a chance of playing a shell game well enough to convince an outside observer that at worst his critics are not as sure of themselves as they seem. The thread nannies help maintain that incorrect perception. The supposedly "neutral audience" generally won't follow any of that reasoning, as they don't understand practical statistics, but they'll see that Jabba is at least engaged and appearing to hold his own. Often you don't win at this particular game, but it's often just important to reveal the straw man for what he is.
Fashioning the most convincing and concise rebuttal is hard because you don't know whether any given reader will be more impressed by high-level logical reasoning or low-level detailed analysis. The downfall of public debates such as this one is that you can't often have just one or the other form of rebuttal in isolation where it would appeal most strongly to readers of that particular predilection.