Cannot see bluetooth connected device.

Android newbie here.
I have an older LG Android phone running KitKat with BLE. I have a Fitbit Charge 2 connected to it. I can tell it is connected because it constantly updates my steps count. But when I go to System Settings - Bluetooth, it does not show my Fitbit. Shouldn't it show there?
Tempted to say so what as long as it is working, but I have another device, flaky Mio Fuse, that will sync only when it show there and I'm trying to figure out problem syncing it.

Welcome to Android Central! Where are you seeing the updated step count? Remember that the phone itself can also count steps.