I looked at the family and I don't think Saturniidae fits for lunemara

Upon further research, Bombycidae are a more suitable fit, which is the family that has domestic silk moths (Bombyx mori) and it's closest relative, Wild silk moths (Bombyx mandarina)

Without any mutations, Saturniidae imo fits better because of the wing shape and how upright the antennae look, they're closer to the rosy maple moth for example.
But I honestly think the Lunemara wouldn't be able to be just Bombycidae, or just Saturniidae, with the variety of wing and antennae shapes imo they'd probably have lots of families between the Lunemara.

For example, ignoring the fact that they have more wings typical for Diptera, I can see those with Mantis and Dragonfly features to be part of the Sphingidae, and those with the Branch mutations to be Pterophoridae.

I do have more to add but I need to leave soon >> Maybe I'll come back to it later