I just checked it again on a Samsung S4 and it does only work if auto-connect on startup is not active. We'll fix this for the next release also for auto-connect.
According to the update/release notes, 3.1.0 :
'Turn on Bluetooth only when it’s needed and turn it off when app closes'
On my device (Samsung S3 running 4.3), BLE is turned ON automatically, but it does not turn OFF when Run.gps is closed/Quit