OK - I can finally confirm that BLE transfer works both ways with ESP32
The key is really in setting right properties, and the easiest way for setting things up is
- flashing the example BLE_notify from ESP32 BLE Arduino folder in Examples
- Connecting to the device name ESP32 (BLE block)
- Using CHARACTERISTIC_UUID from the example for Receive block.
And basically you got it. Good luck and thanks for help Richard and the others!