There was a story here a couple of weeks ago or something with a post mortem from someone who got their websites taken offline and access to their mail suspended or taken offline because some automated system at a giant corporation decided so.
It stayed offline for hours because there was no competent humans available with authority to override the clearly (AFAIK) stupid decision made by the system.
Personally a key takeaway from that (except not depending on said company) was to make sure one has at least two domains, preferably with two registrars, and make sure user generated content is not available on the one you depend on for email etc.