Well, efficiency without resorting to an electromagnet based speaker is one big issue compared to that design! :) Unplug them from the wall outlet and they are mute.
Horns themselves have improved quite a bit in terms of distortion, extension and coverage. I don't care how good those sounded, I have no place for them in my house.
But, are we talking home speakers or professional speakers? It's unfair to compare one to the other.
In particular, one big benefit a lot of well made auditorium size speakers still have is lack of compression, and especially thermally related compression, than their consumer counterparts.
BUT!! Here's another way to look at it. Find me a speaker from the 1930's that occupied no more than 2 square feet of floor space that sounds anywhere near as good as a current pair of Monitor Audio Silver floor standers.