Back in that era, there were no digital timepieces, so one had to be able to differentiate between the big hand and the little hand. I don't believe the advent of digital clocks has improved people's punctuality, but they have made telling time a bit more clinical. Stating that it's 12:13 may be clear and accurate; but it lacks the traditional warmth of saying, "It's almost quarter past twelve."
I can choose either method even though I no longer wear a watch at all. Because I always carry my cell phone, I figured that I could drop the one I used to have on my wrist. Maybe the hair will grow back there and it'll get a suntan this summer.