For me in History one of the most annoying things in modern nationalist narratives is that (both modern Turkish nation-states building and Western, Greek historical accounts) have a tendency to downplay the direct continuity between the Eastern Roman Empire and the Ottoman Empire.
It is an absolute historical fact, and i say it again an ABSOLUTE FACT that for the early and classical Ottomans, claiming the Roman legacy wasn't an afterthought, it was central to who they were!
For centuries, the Ottoman Muslim elite, scholars, and citizens living in Anatolia and the Balkans referred to themselves as Rûmî—literally meaning "Roman". To Arab, Persian, and even Chinese contemporaries, an Ottoman person or good was referred to as "Rûmî" or "from Rome".
How can one ignore that the Ottomans inherited and retained vast parts of the East Roman system. Even the Orthodox Church: Mehmed II restored and protected the Ecumenical Patriarchate of Constantinople, integrating the Greek Orthodox hierarchy directly into the imperial governance model (the Rum Millet).
Meanwhile in the 19th century and 20th century, Western historians framed "Rome/Byzantium" as strictly European/Christian and the Ottomans as an "alien, Asiatic force," erasing the cultural and political synthesis that actually occurred. While the idiocy of the Kemalists played directly into that narrative copying it into their own historical teaching.