Indeed, Slavonic sounds much better sung than Latin, imo. Trust me, I've chanted and sung in both languages, and I just think Slavonic in Hagia Sophia would just be the icing on the cake.
Would they ever have sung "Slavonic" chant at Hagia Sophia? Back when Constantinople was still Constantinople, that is? It would be amazing to see and hear the Divine Liturgy celebrated at Hagia Sophia just as it would have been done, say, the very first time...or even the very last time, for that matter.