Please do domain whitelisting for the embed chat. No moderation features on it absolutely kills my site speedrun.tv – surely there is a pragmatic way to implement moderation without clickjacking. This should be a top priority.
Also, if no white/dark chat is set it should go with what the user has set. Some people like white, some people like dark, and in some cases it is good to let the user decide.
Lastly, what is the point of the massive banner that says “Stream Chat” at the top?