Yeah, it's mostly when it's not a constructor... lol
When you get 3+ shipyards and you jump to manage one, I forget which one was building what. I know what I was building in all three, just not the specific one (as I am terrible with remember names).
Though I also don't think it would be much effort, just an extra attribute per ship yard object which stores last completed set at time of completion. You wouldn't even have to clear it, as the label could be "Last completed:" Though you could easily clear it on the "exit method" as once it's shown once it doesn't need to be shown again.