I was thinking that these common and cheap bluetooth modules have either HC-05 or HC-06 firmware (see this post). Well, I was wrong: there are more! Obviously there many more firmware images available on that British CSR BlueCore4-Ext chip. Mihai Surdeanu contacted me with an updated firmware for a module which has the “BC04” firmware on it. He was so gentle and has sent me an updated Processor Expert component which works with that BC04 firmware :-).