Warhammer 40,000: Darktide will not have crossplay on consoles and GamePass, especially at launch
Fatshark on their support site in a post on November 14th announced that crossplay and cross-save on consoles will not be available in the game from launch - "We appreciate crossplay and cross-save, but these options will not be available at launch. At this time we cannot say when or if they will be available at all."
The same situation with crossplay between Steam and GamePass. Back in June, a Fatshark employee responded to a Steam forum post on the topic, writing: "We're not saying it's not possible or it won't happen, but we're also not going to say 'yes, it will be on such and such a day'. We like the idea and are exploring ways to make it happen, but don't expect it just yet."
That being said, crossplay could still come to the game, but as mentioned above, don't expect it, especially anytime soon.
Source: PC Gamer