It is possible to get into this state. CPU starvation can be so severe that containers start failing their liveness probes and are killed. This is obviously very different than things like memory limits where the kernel OOMKills you, but will look similar to the untrained observer. Their app is serving 503s and the containers are in a restart loop -- looks like a Kubernetes problem.

In general, the problem is that people don't understand how these complex systems interact -- what do limits do, what are the consequences of limits, how do you decide on correct limits, what do liveness and readiness probes do, what is the kubelet's role in the probes, wait what's a kubelet, etc.