I hope you had checked what that X-Men title was... It's an anime from 2011 which is owned by Sony as they produced it for Animax. Its one of the four marvel shows they own. And to your point, no they won't.
Also, Sony owns Spider-Man live-action rights, Marvel Studios just produces them in a twin sharing agreement to get Spiderman in MCU. That's why they have rights for all MCU Spidey and other Spider-Verse films.