I also have not worked for a major, but have had contracts with five Asian carriers, so what's the problem with that?
I have seen many interpretations of Boeing philosophy, and in my opinion any change from the Boeing procedures is dead wrong. Nobody I have worked with has had the training or knowledge needed to amend the manufacturer's manuals and checklists, but so many think they do.
In the company I worked for most recently, they interpret the Recall checks in a funny way, having the PF not only do his/her own items, but detailing the items for the PNF as well. So during an engine fire drill on takeoff, for example, the PF has to fly the airplane, do his own items and also tell the PNF what to do, step by step, monitoring him to see he does it right. Confirming each control as it is moved. Lovely to see the crew in the sim flying the airplane with their tongues. Gives me a lot of confidence that they will be able to handle the real thing. Of course the locals don't have any problem with this, since they put the autopilot on at 250 feet and absolutely rely on it from then on, hardly monitoring it beyond calling out the mode changes on the PMA. Another variation from Boeing, but who's counting?