More likely they mean "readiness check" - this is the one that removes you from the Kubernetes load balancer service. Liveness check failing does indeed cause the container to restart.
Yes sorry for not qualifying - that’s right. IMO the liveness check is only rarely useful - but I've not really run any bleeding edge services on kube. I assume it’s more useful if you actually working on dangerous code - locking, threading, etc. I’ve mostly only run web apps.