well there is definatly something wrong with the tab and the overview
for the tab at least i know, it will acumulate all income(tax, tickets, etc) and expenses(upkeep) for the last week, and every new update the oldest gets thrown out
updates are done a little more then twice a day, exactly 16 updates a week, and this is why industries fluctuate, especially unique factorys, the income the generate only updates in that single instant the products are exported/sold to generic idustry/comercial zone, and warehouses at least for me seem to export 3 trucks at a time -> even bigger spikes with even longer intervals of nothing in between
eg the bakery will produce (at 100%) enough wares for a truck(8t) in 2.083 weeks and for a van in 1.5625 weeks, so if you had an export the last 7 days you see 8k or 6k income depending on vehicle, or you will see 0 income cause no trucks left the bakery in the last 7 days
any other number means partial loads to comercial zones, as they usually dont take full 6t-8t wares per delivery
how the industrial area overview accumulates the data it seemed similar, although the incoming and outgoing wares are register by amount and not worth, and afterwords the actual income/expense is calculated by multiplying amount and price, and it seems to update once per week instead of once per update
so maybe industrial area will calculate everything as soon as iot leaves the building, but the industrial tab only when it arives
and reguarding your original question, no unique buildings do not display on the industrial tab under unique factorys, i just did a test and had a new city with only a theatre and the statue of shopping but no expenses fot the unique factorys even after some months, there is definetly something wrong there
and just to confirm warehouses, those that you can costumize wich things they store, will show up in the unique industry tab and and all wares send to them are recorded as expenses, a single warehouse yard costs 128 and the epenses skyrocketed(over 1000) as soon as my flour mill stored its goods