Hi there,
The connectionStateUpdatedTime is not part of the device twin, but it is part of the device identity. These two entities have overlapping properties (for instance ConnectionState/LastActivityTime/Status), but connectionStateUpdatedTime is exclusive to the device identity.
You can retrieve the device identity using the CLI:
az iot hub device-identity show --device-id TestDevice -n iot-hub-name
SDK (C# example):
var registryManager = RegistryManager.CreateFromConnectionString("connectionString");
var device = await registryManager.GetDeviceAsync("TestDevice");
Or the REST API (source):
https://fully-qualified-iothubname.azure-devices.net/devices/TestDevice?api-version=2020-05-31-preview