Mobile chat is also not an ideal place to curate/moderate. At present you only have the option to delete, kick, and flag. There's no move option and deletion is one message at a time. When you want to look at user details you end up in the desktop view on a mobile screen (it's not responsive like the main site), which isn't ideal. As a moderator, finding flagged content in the mobile pages is impossible; the rooms show that have x flags, but there's no UI within the room to find them. I, normally, have to open a room and then open a user profile or the rooms info (which takes you to desktop view), go to the mod tools, then the current flags page, and handle them from there. On Desktop I can do this all from the comfort of the room.
I suspect that many users on SO are using desktop, however, on SE that is very likely to be different; mobile chat curation/moderation must be improved. In truth, mobile chat requires parity of functionality of desktop.
I also want to look at this claim: