Roku will never offer this, as it breaks their commercial business model (they want to own the toll road and not allow any bypasses on local roads).
There are some security issues too.
Twitch doesn't want to engage commercially with Roku, hence no Twitch app.
Hook a old laptop or a minipc to your TV and use a small format wireless keyboard and track pad. I don't think any streaming stick has a browser at the moment.
Not a Roku employee