That kind of approach might to some extent get around problems like not having a pre-illness baseline, because it would measure the impact of an activity rather than trying to get some kind of broad picture of a person's cognitive abilities. It would be easy to compare it with other conditions, and there are lots of existing cognitive tests that could be used.
One potential way is to seek to match the patient and normal groups on a factor that is presumed to relate to premorbid cognitive ability, such as level of education or previous work status. So you would seek to find a match pair for each patient to make up the control group, and you would measure the difference between the patient and their matched control rather than between the group averages. However, it is not clear how doable this is without some independent confirmation that we could reasonably expect that say solicitors would have similar premorbid baselines as other solicitors and say postmen would have similar premorbid baselines as other postmen.
The only sure fired way to get round the lack of a premorbid baseline, is to to have samples that can be unambiguously said to represent what is normal for the target populations. Usually this can only be achieved where the sample size is large enough to eliminate any possibility that between group differences are not due to normal individual differences within the sample, or if the between group differences are so big as to make normal variation an implausible explanation, usually an all or nothing difference.
Personally, my cognitive difficulties, other than my specific issues with such as spelling or navigation, depend on processing load, any distractions and novelty of the task.
I can read most single sentences, but my reading comprehension brakes down on longer passages requiring integration of information between sentences containing unfamiliar vocabulary items or under time pressure, so premorbidly I would read three or four books a week including non fiction, whereas now I have only managed to read two books in the last five years, each taking over six months with frequent re reading of chapters, whereas I probably process the same volume of text as premorbidly but in the form of Facebook posts or forum comments.
My ability to place an on line order depends on my familiarity with the site and/or the items being purchased, so I can, having had supported practice of making on line grocery orders, now reasonably order my groceries unaided from my saved list of favourites, but then fail at the superficially simpler task of a one-off turf order on a site that only required me to fill in a total area and a delivery date, where failing to accurately add three numbers together I ordered 1,500 square metres, rather than the required 500 hundred square metres (in retrospect I now know I should have got the person doing the measuring to also total the three component areas, and have learnt to only use unfamiliar sites when there is someone present to check my order before a final purchase.)