Culture
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I can tell you from inside AFR that 'cultural' issues would indeed lead to opposite behaviours,like 2 FO's initiating a diversion without waking the commander in the bunk..(yes,it's been done already..)
Cheers
Well when I'm resting I certainly do not expect a bunk call asking for a permission to deviate for weather.
There are 2 competent F/O's in front, you've briefed them, I would expect a call only for a major problem i.e. tech, medical. Not for weather deviations, even crossing the equator.
If you dont trust the other guys or you feel unconfortable when turbulence starts, just stay in the cockpit.