in jormungandr there is a cli command to get stats which also provide a status of the node.
jcli rest v0 node stats get -h <api_address> ... peerTotalCnt: 10240 peerUnreachableCnt: 0 state: Running ...
what I found in case of cardano-node is
cardano-cli shelley query status
it would be nice to know if the node is running, or bootstrapping.
When using LiveView I can not find such info either there.
There is a similar issue on github but this status info is not mentioned: