I am flying the 737 in a big airline company based in central america, here we are encouraged to fly in automation level 4, that means Autopilot LNAV VNAV as much time as we can. Of course, that depends from pilot to pilot, some guys as me usually fly hand flown below 10.000 ft, others engage the autopilot at 400 ft and disengage at the minimums. That is up to the pilot, since you follow your company's manuals.