No one was particularly interested. People in Constantinople didn’t even know what manuscripts they had! (The major extent Plato manuscripts fir instance are from the 9th-11th centuries, the so called Macedonian renaissance). Westerners became really interested in classical literature after about 1200. Works were preserved, but they often didn’t circulate, to the extent that in the 14th century, Petrarch was able to discover a lost letter of Cicero. As the Turks completed their conquest of the Byzantine empire, Greeks fleeing to west ransacked libraries to find books that would sell in the west, which was mostly Classical Greek, since westerners weren’t interest in Greek tgeologians of the 8th century!