Turns out that Hetzner has decided to cancel our account and terminate all servers. There was no warning (yes, we checked our spam folder), and nobody could be reached before Monday morning.
When reached, they could not explain the reason for the cancellation:
Them: - We sent you an email.
Us : -We did not receive it, can you please resend?
Them: - We can't
Us: ಠ_ಠ
In the meantime, all servers had been wiped already so no way to retrieve our data.
If you are looking for a bad case of the Mondays, well, that was one.