Just waiting for the parcel to come in - since the V1 breakout cable only uses the outer shield as GND, it's very likely that a careful bend to the outer shell (bringing it to "slightly oval instead of perfectly circular") will already cure the problem - at least from the descriptions I've read in this thread.
Eureka... I feel like an idiot... I "pressed" slightly the cable connector, making it a bit "oval" as suggested and... No more powercycle from now on. So, all in all, I've sent the first unit for nothing