You must only retain chat logs as long as necessary for the operation of Your Services or to improve Your Services

I’m not storing chat logs.

do not do so for the purpose of creating public databases or websites, or, in general, to collect information about Twitch’s end users.

Not creating any kind of public database either. It’s a private tool.

You must enable, and process, all requests by end users to block, discontinue, delete, or otherwise opt-out of any retention of chat logs for Your Services.

Again - Not storing chat logs. They are processed for information and that information inferred.