@George,
Alexander Armstrong is currently doing a three parter about Italian cities. The leaning tower took hundreds of years, and started leaning long before completion. The dome on the central cathedral in Florence was built by a man who took his secrets to the grave. One of the things the programme was doing was digitally mapping such constructions in order to find out how they made them.
That's a long convoluted way of me saying that I thought the same as you.