You did not set up that server. You still own the relationship. For an agency with a portfolio of unrelated client domains, that is the whole job: know the port closed before the client notices the mail that never went out.
HTTP uptime cannot see this. A site stays up while port 25 refuses a connect, and a host answers every ping while the database port is shut. Those are three different questions about the same machine.
You give it a hostname and a port. SMTP on 25, MySQL on 3306, Redis on 6379, SSH on 22 are examples of what people watch, not a catalogue Oh Dear discovers for you. If the port stops accepting connections, the person who can fix it hears about it.