He is unlikely to be any of the other men of the name of Heraclitus known from antiquity. The 12th-century Byzantine scholar and commentator on Homer, Eustathius of Thessalonica, is the only scholar who mentions him, as "the Heraclitus who proposes to render unbelievable  tales believable".
It is improbable that he was any of the other men named Heraclitus from antiquity. The 12th-century Byzantine scholar and commentator on Homer, Eustathius of Thessalonica, is the sole source mentioning him as "the Heraclitus who attempts to make unbelievable tales believable".