I am a university professor. I use email and have no desire to switch to some fancy tool. Some typical use cases:
- I collaborate on research projects with people all over the world, and I exchange emails with my collaborators. Such emails might be "Here's idea X", "Please look at my revision of our paper, I changed Y or Z", or "Can we set up a Skype meeting". (If my email refers to a file, I might attach it, although most of my collaborators and I use Dropbox.)
Typically I keep these emails in my box until I've fully dealt with them. (This might be months.)
- My students send my emails about class. I usually get to these fairly quickly.
- Sometimes I get questions or comments from random mathematicians about my work, and I try to answer these. (The reverse happens too!)
- I often get individual emails asking me to do things. Speak at a conference, review a paper, etc. These often come from people I don't know well.
- Personal and social correspondence. For example, email is how I most often talk with my mother. I'm aware that most people use instant messaging, but I like the slower pace and the lack of expectation to respond right away.
- A to-do list. Many of the above are asking me to do something, or at least to reply, and I typically keep the email in my inbox until I have done it.
It has its annoyances, but overall it seems like the right tool for the job.
To be honest, I've never understood the perspective of people who want to move away from email. For example, I've involved in a weekly D+D game, and we trade emails from time to time. One of the players suggested that we set up a Slack channel. (I don't otherwise use Slack.) This would give me one more thing to either (1) remember to check, or (2) allow to interrupt me. Why would I want this? The advantage of email is that I can handle it on my own schedule.
Finally, the privacy issue -- to be honest, I don't much care. Perhaps this is the nature of my work, which I typically want to share as widely as possible. For student interactions there are privacy laws, but my employer has presumably ensured that our email software complies with them. (And, if they haven't, it's someone else's problem.)
The sense I get is that, increasingly, people don't mind being interrupted all the time. That's not me. On the one hand I'm very curious about what you envision replacing email; but on the other, I'm afraid that you'd only wrest my email account from me over my cold, dead body.