Yeah I’m currently seeing the same, and looking into possible workarounds. It may simply be that unfortunately Twitter Kit is not compatible with tvOS, so that would be a dead end; as would be our Twitter for Websites timeline embeds; so it might require a third party solution like STTwitter with some manual work to build the Tweet displays. I’ve seen a number of tvOS apps that do present Tweets on screen, but I’ve not looked into how they are built.
I’ll let you know what I learn, likely early next week. Thanks.