@inglenoir, thanks for the update.
That sounds very frustrating, but isn't necessary as the integration is made between your Alexa and Rachio accounts via the cloud.
What browser are you using? Have you attempted to connect using a different browser?
I would be frustrated too. We haven't heard of any other Alexa issues, so I'm confident the integration is working properly -- we just need to isolate the issue you're experiencing. I know you're working with Tom in support. I'll review your support ticket and follow up with any additional troubleshooting ideas.