Whilst I expect that everyones' trust level in Boeing is probably at rock bottom, the 777, at least in the flight control sense, is a very different animal to the 737M. The 777 was designed from the outset as a fly by wire aircraft, whereas the 737 isn't, but has had software kludges bolted on in an attempt to keep grandfathering forever. I'd be more concerned about any crossover of the 787 battery system. Interestingly, Airbus, quite pointedly kept away from lithium power packs for backup power, and kept to RATs. That's a decision to stay with an old, and heavier, technology...but one which has no safety downside.One has to wonder what issues other Aircraft in the Boeing range have been hidden by the company and the FAA. thinking 787 and now the new 777 about to be released.
What new technology is coming to the 777 and how will this effect pilot training requirements when converting from one series to the next will it too be minimal and put passengers at risk as per the 737 debacle.