I actually think Tailscale may be an even bigger deal here than sysadmin help from Claude Code at al.
The biggest reason I had not to run a home server was security: I'm worried that I might fall behind on updates and end up compromised.
Tailscale dramatically reduces this risk, because I can so easily configure it so my own devices can talk to my home server from anywhere in the world without the risk of exposing any ports on it directly to the internet.
Being able to hit my home server directly from my iPhone via a tailnet no matter where in the world my iPhone might be is really cool.
I am not sure why people are so afraid of exposing ports. I have dozens of ports open on my server including SMTP, IMAP(S), HTTP(S), various game servers and don't see a problem with that. I can't rule out a vulnerability somewhere but services are containerized and/or run as separate UNIX users. It's the way the Internet is meant to work.