OK, lets look at a few possible examples which, oddly enough, have come up in the last few years of personally flying the trimotor.
Several airports that I have operated to in Africa lately require non-precision approaches, and with limited visibility due to rising sand, it is vitally important to get down to MDA reasonably quickly, so as to have the maximum TIME to actually look for the airport, and thereafter have a reasonably stable flight path, to the end of the runway, especially if circling to land, which is sometimes the case.
Dive and drive works very nicely in these cases, IF done properly.
Now, I can quite understand some airlines restricting their pilots to continuous descent approaches, simply because many NPA's are not flown all that often, so the less demanding procedure is more appropriate for these carriers, especially as (generally speaking) handling practise by pilots (hand flying) certainly seems to be on the decrease...autopilot use is up, hand flying skills go out the window.
Now as to the 'dinosaur' issue.
Forget NPA's and look at aircraft handling.
Not all that long ago, a jet transport having just departed from a New York area airport had its vertical fin depart, simply because...the airline in question, and ESPECIALLY those in a training capacity therein, had failed to understand what was learned so very long ago.
Namely, the rudder is absolutely NOT to be used grossly at higher speeds for ANY type of upset scenario.
To do so can be fatal.
Of couse, the airline in question found out the hard way.
Dinosaurs learned long ago, and operate safely accordingly.
Some newer folks?
Perhaps they never learned properly in the first place.
It's called....training deficiency, and some airlines should be ashamed of themselves.