It seems normal now, but you don't have to go too far back to get to a time when the concept of cross-play - online multiplayer across different platforms - was fanciful. Each console, PC and mobile platform operated in their own bubble, splitting up userbases and gaming communities.
The huge growth of online multiplayer, and especially free-to-play, has opened up cross-play as a relatively common feature. Titles that support this on Switch, for example, include Rocket League and Knockout City.
As part of a wide-ranging interview with The New York Times (paywall) (via Eurogamer), Xbox boss Phil Spencer highlighted cross-platform user bans and blocks as something on his wishlist, albeit acknowledging that it wouldn't be easy to implement.
Something I would love us to be able to do - this is a hard one as an industry - is when somebody gets banned in one of our networks, is there a way for us to ban them across other networks?
[I would like to] be able to bring my banned user list... to other networks where I play. So 'this is the group of people that I choose not to play with'. Because I don't want to have to recreate that in every platform that I play video games on.
While it's tempting to simply say it won't happen, as mentioned before we now take for granted what was previously unprecedented co-operation and cross-play between platforms. Whether the major platform-holders could agree to sharing and maintaining a combined user-list, and navigate the various legal requirements, would be interesting to see.
We'll see whether the idea ever picks up steam - in the meantime share your thoughts on it, as always, in the comments.