Is ESP32 BLE Arduino on ESP-IDF?

[mocke.tech]

I am trying to register our ESP32 product using BLE to Bluetooth SIG. Our product is built on Arduino-ESP32. Bluetooth SIG says ESP32 is registered as a control subsystem(QDID:103832), and ESP-IDF is also registered as a host subsystem(QDID:116661). So we can try to register our product to Bluetooth SIG as an Endpoint combining ESP32(control subsystem) and ESP-IDF(host subsystem) if 'Arduino-ESP32' and 'ESP32 BLE Arduino library' are just a wrapper of ESP-IDF. Is my understanding correct?

[OgLocGreen]

how did you do it in the end? we want to do the same. Or does someone else have more Infromation about that?