Its not unusual however for the quality hosting companies to have a primary and a backup net connection. The backup connection may be much slower connection than the primary, but at least it means that if their primary connection fails, your site will keep operating, even if at a much slower speed. This is straightforward. Thats one of the nice things about our host. We can and have called at the strangest times and gotten through to a live person.
Email is a secondary option.
No server can survive long without periodic maintenance. Such maintenance may result in the server going offline. Being informed before hand via email, reduces the panic attack when you find your site is offline, and reduces the calls to tech support. Some hosts allow you to obtain your own server certificate, or use theirs. If you want to use their certificate, expect to see a small increase in the monthly hosting costs.