I've got info that shows exactly where they are in processing.
I submitted mine June 4th, that was the Monday after their emails started bouncing cause the server was full. They just sent me an email telling me my sticker was expired and I'd need to renew it before they finalized my application. So they're in the middle of processing mine right now. Email below --
Hello xxx,
I’m processing the EHVIP application you submitted. In order to finish processing, I need you to renew your license plate stickers as they are expired. Please let me know when you have renewed them so I can verify online and finish processing.