With cell phones being near-ubiquitous, there's no reason not to text and email in these scenarios.
My niece and nephew's school does text message updates. Informational communications from friends are by text or email (and can be confirmed via the mechanism not being used, or by arranging a call). I have never gotten a call for a delivery (it's all email and text if I've opted-in), and would treat one as a scam, even moreso if it is related to an online purchase. Legitimate emergency services have zero excuse for not displaying as such via caller ID.
More and more routine notifications ("You have an appointment next week") have moved to texts. (Lots of people ignore emails or they filter to rarely-checked tabs.) And pretty much no one where I work calls unscheduled. But there's still a fair bit of calling from doctors' offices, immediate needs, etc. They'll leave an often partial message if it's important but then you can get into call-back loops.
My niece and nephew's school does text message updates. Informational communications from friends are by text or email (and can be confirmed via the mechanism not being used, or by arranging a call). I have never gotten a call for a delivery (it's all email and text if I've opted-in), and would treat one as a scam, even moreso if it is related to an online purchase. Legitimate emergency services have zero excuse for not displaying as such via caller ID.