This study pubs.acs.org/doi/10.1021/ac... shows that PBDE flame retardants reduce type 2 deiodinase (DIO2) expression and activity in human brain cells. T4 enters the brain where it is converted to T3 in glial cells which then supply neurons with T3. This study shows PBDEs reduce this activity although it is likely this will ony be so in a minority of people who have high hydroxylated PBDE (OH-PBDE) levels.
Antonio Bianco is an expert on deiodinase and Heather Stapleton a leading environmental scientist. So, the study had a highly regarded team.
This is a very technical study but I've posted it as an example of how there can be localised impaired T4 to T3 which doesn't show up in blood tests and can cause brain fog. I've found taking a little simeticone ("WindEze") can eliminate the symptoms of brain fog. This is because it is a non-absorbable lipid and these substances are lipophillic and subject to recirculation in the gut. I've also found Enterosgel effective, a lot lower dose than recommended on the packet - less than one teaspoon daily. Both require a few months to gradually eliminate the toxins. Note that thyroid hormone is also lipophillic so you should not take simeticone within a few hours of your thyroid hormone tablets.
My guess / hypothesis is that disorders that reduce the rate of D2 (T4 to T3 conversion) lead to a situation where the brain sometimes doesn't have enough T3, it can't convert T4 to T3 quick enough. I say this because I find I have no brain fog when out walking or playing sports but when I try to concentrate for some time, perhaps reading I gradually struggle more and more. The longer I fight it the longer it takes to recover. This suggests my brain is running out of some resource. I believe this to be T3 because when I experimented a few times with a little more liothyronine the effect was substantially reduced. However, I don't want to take what might be too much hormone so I put up with it. This is important because studies so far have not been designed to test the ability to sustain concentration and so miss the effects of a reduced D2 rate.