Internet connections sometimes go down. It could be a hiccup that lasts for an hour or so, or a day, or something more serious. Like a weather-related issue that takes out connectivity for an extended period.
Still, I host things from home. Reliability is an important thing to keep in mind, but so is taking control of your little corner of the internet. Email delivery can be retried, and websites can be revisited. If I were running a business of some sort it would be a different story, but for what I'm doing it works out.
Find me at @firstname.lastname@example.org