Circular health checks dependency loops

[Gaikotsu2]

If multiple services are set up resulting in a circular dependency loop, they will all report as Unhealthy even if they are otherwise fully functional.

For example:
Service A => Service B => Service C => Service A

I have attached a simple solution with 3 web application projects that will cause the failure.
Exploration.HeathCheck.zip

Detection of the loop would be easy enough, but deciding what action to take after detection seems like a catch 22 situation.