Does it really matter who in this case? Just saw the Gulfstream bulletin about this occurrence: basically a brain fart from a probably tired driver.. selected both fuel controls off instead of continuous ignition switches..
Gulfstream / Rolls Royce put in a "quick relight" feature into the FADEC for just that purpose.. So the bulletin basically says "uuuhhh.. don't do that, guys..".
In this case, the relight worked fine, no mention of altitude lost or anything.
Interestingly, the bulletin goes on to say that continuous ignition is never really needed, as the FADEC is much smarter than we are... makes you wonder if they installed those switches just to make us feel good