Constantinople's population never exceeded 100,000 following 1204 all the way until the Ottoman conquest, when the Ottomans resettled it and it reached something like 150,000 by the 1470s. Since the city was built with something like half a million people in mind, yes, vast swathes of the city did lie in ruins for 250 years.As an aside the idea that the city lay in ruins for 250 years before the superior Turks came along and fixed it is almost as contemptuously nationalistic as Hierosolyma’s own ranting.
In fact, Constantinople did not recover its maximum population under Justinian until the age of Süleyman, although the Macedonian and Komnenian eras did come close.