Yes you are absolutely right. I spent some time looking for historical maps, but in the end I just decided to keep it simple.
This icon is already too high poly for M&B map.
I just couldn't be bothered to make triple walls and divide the city in two parts.
But if you made a sketch I could definitely give it a try.
Finding info about Hagia Sophia's shape in 1080. was almost impossible, so I just made the main part of the building.
I'll have to skip the White Tower, then.