Depression isn’t the same thing as sadness, and I wouldn’t be surprised if it disqualifies someone from being an astronaut. Most people don’t have depression, but everyone feels sadness at some point in their lives.
To answer your question, astronauts are trained to work under extreme stress, so they would know how to compartmentalize the pain and focus on completing the mission. Similar to soldiers.
If your server goes down you’ll miss incoming emails, and IMO residential ISP and power service isn’t reliable enough for your main email address. If mail can’t get delivered people get the impression you gave them a fake email address, which can be more than embarrassing.
It’s the only service I don’t self-hosted, although I do backup my email on my home server. Email protocols don’t tolerate downtime, if your server is temporarily unreachable you won’t get messages and people will probably assume the email address/domain isn’t even valid.
Lightweight/low-power laptop (aka chromebook) + homeserver seems ideal, IMO. Especially if you have gigabit upstream at home, and know how to set up a VPN.
*Ballmer peak