Actually the issue is same root cause of https://issues.redhat.com/browse/OCPBUGS-9026 but I'd like to open new one since the issue becomes very critical after ROSA using NLB as default since 4.14, HCP(HyperShift) private cluster that without infra nodes is the serious victim because it has worker nodes only and no available workaround for it now.

But if we think we could use the old bug to track the issue, then please close this one.    

4.14.1
HyperShift Private cluster

100%

1. create ROSA HCP(HyperShift) cluster
2. run qe-e2e-test on this cluster, or curl route from one pod inside the cluster
3.

1. co/console status is flapping since route is intermittently accessible 
$ oc get clusterversion
NAME      VERSION   AVAILABLE   PROGRESSING   SINCE   STATUS
version   4.14.1    True        False         4h56m   Error while reconciling 4.14.1: the cluster operator console is not available


2. check node and router pods running on both worker nodes
$ oc get node
NAME                          STATUS   ROLES    AGE    VERSION
ip-10-0-49-184.ec2.internal   Ready    worker   5h5m   v1.27.6+f67aeb3
ip-10-0-63-210.ec2.internal   Ready    worker   5h8m   v1.27.6+f67aeb3

$ oc -n openshift-ingress get pod -owide
NAME                              READY   STATUS    RESTARTS   AGE    IP           NODE                          NOMINATED NODE   READINESS GATES
router-default-86d569bf84-bq66f   1/1     Running   0          5h8m   10.130.0.7   ip-10-0-49-184.ec2.internal   <none>           <none>
router-default-86d569bf84-v54hp   1/1     Running   0          5h8m   10.128.0.9   ip-10-0-63-210.ec2.internal   <none>           <none>

3. check ingresscontroller LB setting, it uses Internal NLB

spec:
  endpointPublishingStrategy:
    loadBalancer:
      dnsManagementPolicy: Managed
      providerParameters:
        aws:
          networkLoadBalancer: {}
          type: NLB
        type: AWS
      scope: Internal
    type: LoadBalancerService

4. continue to curl the route from a pod inside the cluster
$ oc rsh console-operator-86786df488-w6fks
Defaulted container "console-operator" out of: console-operator, conversion-webhook-server

sh-4.4$ curl https://console-openshift-console.apps.rosa.ci-rosa-h-d53b.ptk5.p3.openshiftapps.com -k -I
HTTP/1.1 200 OK

sh-4.4$ curl https://console-openshift-console.apps.rosa.ci-rosa-h-d53b.ptk5.p3.openshiftapps.com -k -I
Connection timed out

1. co/console should be stable, curl console route should be always OK.
2. qe-e2e-test should not fail

qe-e2e-test on the cluster:

https://qe-private-deck-ci.apps.ci.l2s4.p1.openshiftapps.com/view/gs/qe-private-deck/pr-logs/pull/openshift_release/45369/rehearse-45369-periodic-ci-openshift-openshift-tests-private-release-4.14-amd64-stable-aws-rosa-sts-hypershift-sec-guest-prod-private-link-full-f2/1724307074235502592