You'd think, or hope, but GoDaddy and other actors proved over the years that this is not the case. I think that the kind of site most impacted by an event like this are social sites, where if people leave, they might take their networks with them. But a normal b2c service provider just needs to update their PR and prices and business will be back to usual.
I never understood that urge of people to do "fan pages" (or fan anything, without the permission of the original creator) while at the same time blatantly ripping content.