Having competent customer support, that would be able to address situations like this. Esp. with the amount of people that are using these home automation services with "cloud" support, its only going to get worse the more integrated these services become.
My friend has had a similar situation with the good ol Yahoo eMail service, and after being on call waiting for 4hours, they told him they cannot help him, then hung up.
I also had a similar service, with my STEAM account, I emailed Valve, and within 45 min the account was restored.
so, its possible to disable the sms authentication by removing it in the security settings
I'm not trying to imply that it would be the same, genuinely curious if I can expect better by switching.