I think it is problem. For eg. Let's say the healthcheck is on the main postgres process but the side processes crash, it will create a problem. You will have a

I think it is problem. For eg. Let's say the healthcheck is on the main postgres process but the side processes crash, it will create a problem. You will have a container running in degraded status. So yes, It is very problematic. In practice, I have seen this kind of setup create lot of weird and unexpected behaviors.