I was even both iron deficient and vitamin D deficient while taking a multivitamin with 100% RDA of both iron (18mg amino acid chelate) and vitamin D (although as D2). I continue to take the multivitamin, on top of separate iron and vitamin D3 supplements, and last I checked (a few years ago), I had normal blood levels. The testing was prompted by blacking out when I'd get up too fast. For the past few years, I've been taking just over the upper limit in iron from supplements alone (46 mg/day, the UL is 45). Your previous post prompted me to check if this was safe, but I think it's fine since the iron doesn't absorb as well as heme iron, but maybe I should get tested again and see if I can cut back a bit.
I had been giving blood regularly, too, before I started to black out, but even when I stopped, my ferritin levels didn't really recover to normal and I kept blacking out, so I added the iron supplement.
Although I have no doubts that iron deficiency is a problem, I do not think the evidence linked for this is particularly strong backing for it having massive effects. In particular, estimating the cognitive impacts of anything from one study that hits marginal statistical significance with a massive estimated effect size (0.5 standard deviations) seems likely to lead to a wildly inaccurate estimate of the true effect. This is because this study possesses all the hallmarks of low statistical power interacting with publication bias.
Furthermore, given that the the other studies appear to have small samples sizes (note: I am an economist, not a medic) and the p-values are not far off 0.05, I would be worried about publication bias exaggerating any effects there as well, especially as I suspect studies conducted fifteen to twenty years ago were unlikely to be pre-registered.
To convince me of an effect size, I would want to see a study with p<<0.01 or a meta-analysis of RCTs that addresses the issue of publication bias.
I agree: the available evidence is incredibly low quality. If you find something better I'd be delighted if you shared it.