There are two Bluetooth functions: Bluetooth Low-Energy (BTLE) that connects to the App and Bluetooth Classic (BT) that connects for audio streaming.
Just like SNOOZ Original, the BTLE signal stays in sleep mode unless the App tries to connect to the device.
For Bluetooth Classic, this signal is only active when in Bluetooth Streaming Mode. When in White Noise Mode, the Bluetooth Classic part of the chip is powered off (no signal).