If you're seeing a “Managing Connections” message, that is because it is a Google requirement as we are using Bluetooth in the background to communicate with the collar. This is required by Google to let its users know if an app is actively connecting, even when the app is not active.
For optimal Link My Pet location monitoring and tracking functionality, you should always have locations permissions turned on.
Because we use low energy Bluetooth, your phone's battery should not be materially impacted.