Whether it's normally a consideration or not, there are no meaningful barriers in terms of cost or effort, so it's totally realistic to expect it of a tiny startup.

Every week there's another article on HN about a tiny business being squished in the gears of a giant, automated platform. In some cases like app stores this is unavoidable, but there are plenty of hosting providers to choose from. People need to learn that this is something that can happen to you in today's world, and take reasonable steps to prepare for it.