I guess 737 jockeys would use it more as the thrust is a tad more sporty up high than on the Minibus...
To be honest, my last operator stipulated a maximum ROC in the last 2k and 1k before level off which made changing to VS almost always necessary to comply with. Then again the flights were often 1hr sectors so even with a full house you could almost always shoot straight up to FL390 or even FL400 with no issue.
In my humble experience, The "Airmanship" element is to watch out for AOA as once you let the speed decay past a certain point you simply cannot accelerate back to the FMC climb speed without stopping the climb. On longer sectors, I prefer a good margin either side of the current speed to eeking out the last drop of efficiency according to the box...