Do you know what specifically are the issues that prevent them running your Extension? Extensions are just websites, HTML, JS, CSS, etc… If the Twitch review team have issues getting it to work correctly then chances are a portion of Twitch viewers would have issues too.
If the issue is with building your source code, then I don’t think I’ve ever had an issue where Twitch have had issues with any of the Extensions I’ve submitted and the submitted source code, so again perhaps this is a problem with your source/build process rather than on Twitch’s side and their machines.