Ok, something just occured to me. Can you please try with ssh.service, not sshd.service:
sudo systemctl status ssh.service
This, of course, with openssh-server package installed. Also, what is the output of:
ls -la /etc/systemd/system/ssh*.service
Explanation: the unit file in /lib/systemd/system is ssh.service, not sshd.service. It does contain directive Alias=sshd.service, but I noticed that doesn't necessarily work if the symbolic link in /etc/systemd/system is ssh.service, not sshd.service.
Old dogs like me automatically think "with D", since it's a daemon, not a client we are talking about here.
If you got status with ssh.service, you can use that to enable ssh daemon at boot:
sudo systemctl enable ssh.service