Ok, so this is a goofy issue with how Live Reports work. What happens is this. When you Warm Transfer a call out and hang up, you errantly show in Live Reports as On Call, but in the Queue, if you click on the down arrow by Operation you'll see you're Available. What's happening is the Live Report status is showing the back channel call that's still in progress and that the originating Agent is still on the Call.. That's not correct, the Queue shows the proper status of Available.
It's not really a Live Report lag as the status updates within moments of all parties ending the call and the agent will show as Available again there as well.
Just note this for anyone else seeing this issue. Live Reports is just showing that the handed off call is still in progress in the background -- but your Agent is Available so long as the Queue shows them as Available.