What are your thoughts on using mythological deities like Thor or Amaterasu in D&D cosmologies like the 2e or 3.X Great Wheel, the 4e World Axis, or the hybrid 5e cosmology, with all of the "laws of reality/magic" and creatures those cosmologies entail?
2e did this flagrantly with the "On Hallowed Ground" book, and 5e is pushing for this with the appendix of mythological pantheons in the Player's Handbook.
I think it is a little silly because those mythological deities and pantheons were "designed" under a specific cosmology and "setting" in mind. These tend to be mutually exclusive with one another, let alone D&D cosmologies, unless generalized into a bland paste of faux-comparative-mythology.
The "setting assumptions" and context behind each deity's history and relationships fall apart when shoved into a cosmology they were never "designed" to exist n. Additionally, when there are dozens of "creator gods" or "sun gods" (of a single world, no less), each one is diluted into losing their individual grandeur. "All myths are true" settings constantly forget that.
D&D 3.0's Deities and Demigods did the smart thing by dictating that each pantheon existed in their own custom-built cosmology, independent of one another. The Greek deities, the Egyptian gods, and the Norse divinities lived in different multiverses tailored to each pantheon, far apart from the wild and wacky 3.X Great Wheel.
Each time I have seen a mythological deity shoved into a D&D cosmology, it has always been something utterly superficial like, "This is Thor, son of Odin, god of storms and hitting things with hammers," or "This is Amaterasu, a sun goddess who locked herself in a cave one time (and is inexplicably a wolf ever since a 2006 video game came out)." It looks lazy.
I will concede that there is value in brand name recognizability, but if all you want is a god vaguely inspired by a mythological deity, why not come up with an original entity?
What do you personally think?