But the modern United States diet is not "a lot more Paleo".
You're wrong. 1961 USA was already quite far in its transition away from Neolithic food, it just takes time for such low-level damage to accumulate.
There's little high quality world-wide data before 1961, but feel free to offer a bet about it if you doubt what it would reach.
Correlation goes the wrong way, just like I said.
In any case, obesity statistics are easily available for all countries, so I'm puzzled by your unwillingness to take a look.
Moreover, my impression - confirmed when googling this - is that the warning against sweeteners and vegetable oils is an important part of the paleo critique of the modern diet. If you follow paleo advice, you will abandon sweeteners and vegetable oils.
It's not. Paleos bundle all non-Paleo foods as if they were pretty much the same. It's about as useful as abstinence-only approach to safe sex.
In a recent article, John Ioannidis describes a very high proportion of medical research as wrong.
Part of the problem is that surprising results get more interest, and surprising results are more likely to be wrong. (I'm not dead certain of this-- if the baseline beliefs are highly likely to be wrong, surprising beliefs become somewhat less likely to be wrong.) Replication is boring. Failure to replicate a bright shiny surprising belief is boring. A tremendous amount isn't checked, and that's before you start considering that a lot of medical research is funded by companies that want to sell something.
Ioannidis' corollaries:
The culture at LW shows a lot of reliance on small inferential psychological studies-- for example that doing a good deed leads to worse behavior later. Please watch out for that.
A smidgen of good news: Failure to Replicate, a website about failures to replicate psychological findings. I think this could be very valuable, and if you agree, please boost the signal by posting it elsewhere.
From Failure to Replicate's author-- A problem with metastudies:
The people I've read who gave advice based on Ioannidis article strongly recommended eating paleo. I don't think this is awful advice in the sense that a number of people seem to actually feel better following it, and I haven't heard of disasters resulting from eating paleo. However, I don't know that it's a general solution to the problems of living with a medical system which does necessary work some of the time, but also is wildly inaccurate and sometimes destructive.
The following advice is has a pure base of anecdote, but at least I've heard a lot of them from people with ongoing medical problems. (Double meaning intended.)
Before you use prescription drugs and/or medical procedures, make sure there's something wrong with you. Keep an eye out for side effects and the results of combined medicines. Check for evidence that whatever you're thinking about doing actually helps. Be careful with statins-- they can cause reversible memory problems and permanent muscle weakness. Choose a doctor who listens to you.
Forum about self-experimentation-- note: even Seth Roberts is apt to oversell his results as applying to everyone.
Link about the failure to replicate site found here.