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It's been shown that lower titer levels in natural immune responses are inconclusive at best.
That's another open question. For example, see
this from Nature Medicine "Neutralizing antibody levels are highly predictive of immune protection from symptomatic SARS-CoV-2 infection". Which is kind of a case in point - my main issue in that you're taking limited snapshots of information and drawing conclusions which are too broad or too strong. I'm not even saying you're wrong, I'm saying it's not as certain as you're making it out to be.
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Your Qatar airport PCR study had no antibody (serology) testing. Therefore it eliminated 2,488 people from the naturally infected sample (12 wk window), many of which would have shown up in the final results for prior natural immunity and neg PCR, with serology blood tests. The Lancet study I posted had same issue, but to lesser degree since they could include subjects 4 weeks out from a positive antibody test to final tally of those natural and negative. Probably best explanation for the difference in outcomes.
I don't understand the objection to PCR vs antibody testing. They eliminated people with recent infection because it doesn't help answer the question they were asking, which was "whether vaccination and prior infection were associated with lower risk
for testing PCR positive." A recent positive test would preclude them from being categorized as "reinfection" vs ongoing infection.
At any rate, they excluded 2448 people who were recently infected, and 3472 who were recently vaccinated for the same reasons - and still had a total of ~500,000 people in the eligible group. This seems like a dubious reason to question the study. Sometimes a result is just a result, and you can only say "interesting, looks like we need more data."
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Finally, it's very important to eliminate those with both natural immunity AND vaccine when comparing to a sample of only natural immunity. That's one HUGE advantage the vaccine has in studies of an asymptomatic or mild virus and the vast majority of data analyzed at moment. As the vaccine is pushed more an more to "everyone", that skew becomes larger and larger.
Shrug, you're basically saying the study could have included people who were actually recovered in the vaccination group by mistake, if they did not know they were exposed/infected/recovered. But this bias is on both sides of the equation - it also applies to the people who were unvaccinated but also no prior infection.
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Considering all this, it's extremely probable that studies will become much more controlled which prevents vaccines from taking credit for natural immunity, resulting in a leap frog effect for natural immunity. So what has become obvious over last few months, will likely become definitive in next couple years. We will ultimately find that Fauci's original gut feeling and honest expert opinion was true, and his rhetoric during vaccine pushing mode was BS narrative. A gov simpleton messaging strategy for a public too lazy to discuss what we are here.
Again, I'm not saying you're wrong. I'm saying you're using words like "extremely probable" and "obvious" when I don't think it is either extremely probable or obvious.
You seem a whole lot more interested in confirming your priors than actually finding out the answer based on all available evidence.