Actually, no.
When you monitor state of a cluster (e.g. node count), you don't have a server, you have plenty of servers and a cluster (completely different thing).
When you monitor temperature in your server room, you don't have a server, you have a server room.
When you monitor exchange rate, you don't have a server.
When you monitor a website, you still don't have a server.
And now add all the AWS Lambdas and other serverless rage.
Notion that everything works on a (single!) server was never valid, and today it's even more visible than it was twenty years ago, when Nagios was state of the art.
What matters is that the alert about the issue is raised and relayed to the proper notification channels. Since sensu doesn't concern itself with a fancy dashboard, it doesn't really matter if the alert pertains to the host or not.
Any decent monitoring will have customized the alert handling based on what's alerting, so there's some amount of post-processing possible.
In practice it doesn't matter if you name a file handle "juju" and a database query "peach" in your code.
It's a matter of calling things what they are instead of forcing them into a mismatched data scheme by creating artificial hosts.
Even if you don't have access to the server so you can monitor it, you can use the "host" concept as containers for your services: "api.mycorp.com", "tasks.mycorp.com", "backups.mycorp.com" are great starting points.