By the sound of it, it was like the watches that were to come out some fifteen to twenty years later (quartz=accuracy + LCD=long battery life, since early LED ones had a potentially poor battery life and having to press the button to turn the Leds on for a second or so, was a pain at the time, I would think).
Yes, it owned the market for something like 10 years, nothing else could touch it.
10 years is a very good run, and they would still make smashingly nice watches, even today.
It is a clever combination of electronics and mechanical engineering.
Because motors tend to use a hundred or more milli amps, if not amps, solenoids tend to use amps, and relays are often around 150 ma's, but can be lower or higher. How they get it to use such a tiny amount of power is also impressive.
Presumably it uses about 10 micro amps (guessing 100ma/hour battery capacity and 1 year life, battery life info via an internet search).
So about a 10,000th of what a (100ma) relay coil would use. I guess the 8,100 turns in the coil helps, and it only needs a relatively tiny movement to keep going (resonance), so the current scales down. Still amazing.
Also the current may only be needed for tiny fractions of a second, so it may be a couple hundred micro amps, but only for 5% of the time, or something like that. So 10 micro amps, is the AVERAGE.
EDIT: tl;dr
It would be interesting to connect a scope up to it, and see the current that it uses, and its waveform, over time. Is it discrete pulses of consumption or a more continuous affair ?
Any capacitors across the supply would make it a lot harder to measure (a quick look again at the circuit diagram in the video, seems to show that the capacitor is NOT decoupling across the battery, so it should be ok). I guess these watches are so valuable, tiny and delicate, it is difficult to sort out.
Your video shows how difficult it is to open them as well, ideally needing a special tool and great care and training (on how to open those watches).