Nartarus DOES receive an invite- and there's something in it about how great it would be about a god of war at the party?
Eractus also DOES receive an invite. Seems Marx wants a god of bloodlust there, too- makes sense, seeing as she loves those arena fights so much.
Adrestia DOES NOT receive an invite, but it doesn't seem to be out of malice- Marx just doesn't know enough about Adrestia. Or even that Adrestia exist.
Silverskies DOES NOT receive an invite. Neither does anyone associated with her.
Instead, Marx sends them each a decapitated head.
Ishmael DOES NOT receive an invite, probably because Marx doesn't want him to calm down any possible fights with his peace circle. He doesn't get any body parts though so there's that.
Orphos DOES receive an invite- but it goes out of its way to leave out Bliss until the end, where it specifically mentions NOT to bring her.
Cleaver DOES receive an invite. It's...actually a mostly normal invite, surprisingly. At the bottom, it says, "OH, AND SCHISTO CAN CERTAINLY COME WITH YOU! ♡"