Researching a bit more, it seems that Lutris can download and perhaps run these games, but it doesn't offer other integrations. It's not clear to me whether it

Researching a bit more, it seems that Lutris can download and perhaps run these games, but it doesn't offer other integrations. It's not clear to me whether it downloads updates automatically for them, but it certainly doesn't handle things like cloud saves (I game from multiple systems) or achievements.