To me, there seems to be a great disagreement about what IQ is supposed to measure. I have heard about psychologists taking ADHD/depression/other mental illnesses into account when deciding on the final score of an IQ testee; that is, they compensate for it, because those illnesses supposedly make the testee underperform.
Now, that rasies the question: what is IQ? Is it supposed to be your average intellectual ability to function across different environment? Well, if so, ADHD poses issues. ADHD will help in some environments, and in others, it will not. If an IQ test is not representative of all those environments, ADHD patients will have skewed results.
Depression will almost certainly not help you in any environment, so should it really be accounted for? Well, some might say that depression is not an essential feature of your mind, but rather an affliction of it. A bump in the door of a Honda Civic Type R 2012 is not a feature of the model, but rather a feature of the car. In the same way, one might say there is the essence of your mind, and then the state that it is in. That state includes non-essential features like your mood, energy level, sobriety, etc. Some might lump conditions like depression into the non-essential features.
Adult ADHD does not go away though, as far as I'm aware. To say ADHD is a non-essential feature of a mind is to define the essence of a mind in a pretty useless way, given that it'll hold little relevance to actual minds. In contrast, talking about one's mind independently from non-essential factors like mood and sleepiness is definitely of relevance, given that it gives you a view of the mind's average performance.
So, if ADHD is an essential feature of a mind, why account for it in IQ testing? Well, maybe it's an admission of IQ tests' bias for uninteresting environments? Perhaps the average performance of someone with ADHD is likely higher than that which an IQ test would indicate, because IQ questions are typically not that interesting, and thus the performance of people with ADHD suffers disproportionately. At the same time, those same people might be really good at things they are interested in (given ADHD can lead to hyperfocus); thus, given that IQ tests' typically do not reflect the performance of ADHD-patients in those environments, an adjustment to the final score is due to truly give a score of average performance in tasks related to general intelligence?
TL;DR: Why might a psychologist bump ADHD-patients' IQ scores in order to account for ADHD? Is it because the intellectual performance of ADHD-patients varies too greatly across different environments, which exacerbates the inaccuracy from the lack of diversity in IQ tests' representation of different environments?