The problem was that I did not understood well the procedure to flash-back the first one after putting a non working one.
First time I tried to flash, I had booted on bios 2 (the one I do not normally use) and it told me it was write protected.
I falsely deduced only the first one could be flashed. I rebooted on bios 1 and flashed it.
After discovering it was not working, I rebooted on bios 2 and reflashed ... but forgot to press the button while the computer was already booted up ... and ended flashing another non-working bios
It was kind of un-natural to me to use a jumper on a powered board ... Besides, the first complain about write protect was in fact due to the flashing software not running in administrator mode.
By the way, I managed to get my board working again by booting on an old PCI card, so no harm in the end, but still some cold sweat ^^
Do not flash your number two BIOS. Only use your number two BIOS if you mess up the first one. Make sure you make a backup of your original BIOS using GPUz.