Yes, according to classical mythology, there is no record of Hades having a male lover.
Hades' Relationships
While many Greek gods and heroes had same-sex relationships, such as Zephyrus and Hyacinthus, or Heracles and numerous male lovers, the reference explicitly states that Hades, unlike some of his divine counterparts, had no male lovers recorded in known mythology.
- Reference: The provided text explicitly states: "Ares, Hades and Hephaestus had no male lovers as far as I can recall."
This statement clarifies the absence of documented male lovers for Hades within the scope of the referenced mythological context. It’s important to note that the absence of record doesn't definitively preclude the possibility, but based on the commonly accepted narratives, the answer is no.