You still seem to be under the mistaken impression that I'm trying to defend the paper,
No, I know you
aren't defending it - because it's indefensible.
If I point out the weakness in a particular argument for one side of a debate,
But that's not what you are doing, you're nitpicking. And when the weaknesses in your own arguments are exposed (eg. claiming an inflated 'factor of 100 difference') you brush it aside. Some people may have misread something or been sloppy in their wording, but the correct response is not to jump down their throats. If people are getting emotional it's due to the way you engaged them.
that doesn't actually mean I've taken the opposite side in that debate.
No, of course not. You're just 'correcting their mistakes'. But that's
all you have been doing. The OP asked if anyone could 'take apart this study, piece by piece?', but rather than contribute to that effort your response was to 'take apart' any criticism of it by nitpicking.
This is classic a tactic used by debaters looking to score points against the other 'side' without having to reveal their own (perhaps because their side is indefensible, or they want to 'win' the debate, or they just enjoy trolling). Either way the fact that you decided to enter the debate this way shows that your goal is not honest discussion.
logically the sensible thing to do would be to either correct the flaws in that argument or shift to stronger arguments for that side.
If you are on the same 'side' then logically the correct thing to do would be for
you to provide any stronger arguments you can think of. But you did not do that. First you asserted that there was 'no evidence' for the OP's impressions of the report. Then you implied that the other 'side' may be correct because relative humidity is not the same as humidity. At this point all you have done is weaken the case for AGW. And yet, though you claim to not be on the other 'side', you presented no arguments against it.
I've only skimmed it. It doesn't seem worth any more of an investment of my time, so my criticism isn't going to be exhaustive.
So you're just here to nitpick?
The paper is indeed quite weak. As jimbob correctly pointed out, their temperature equation is basically unjustified curve fitting which, given the complexity of climate, almost certainly doesn't contain enough information.
And can't even be bothered providing your own analysis? No, your criticism isn't exhaustive - it's nonexistent.