I could write you a lengthy novel on this, but let me try and condense.
TLDR:
-Bikes have a logical place that you can place a sensor and actually measure power, while a runner does not.
-Biking involves a single, simple, repetitive movement. A running stride is made up of distinct phases, and there is a ton of variability in form between individuals.
TLDR:
- power for cycling is what pace is for running
I would say the main reason why power meters on the bike are so popular is a different one: speed on a bicycle says nothing about your effort. From one side, a 1 km/h (mph) increase may mean a difference of tens of watts of needed power; on the other side, the gradient of a climb (or descent), wind, changes in rider position, presence of other riders, all have a big impact on speed. All those factors do exist in running, but they are marginal: pace says very much about your training or race result. A 32 km/h (20 mph) training or 40 km/h (25 mph) race average speed say... nothing. It's easy to train and race according to pace in running, taking into account slope, wind and running surface of course; it makes no sense in cycling.
Another factor: running tends to be at a uniform pace. Of course you have intervals in training and last lap sprints in track racing, but generally you try to keep a uniform pace. From this point of view running is like time trial in cycling. The more popular mass start cycling is a constant variation of effort, from powers less than half your anaerobic threshold power to 4 times higher powers: in running terms, from jogging to 40 meter sprints. For this a power meter is invaluable, as variations in speed, heart rate or perceived exertion don't tell the whole story.
Power meters are popular among time trialists too. This is again for a reason not found in running: in time trials aerodynamic drag is fundamental. With a power meter a time trialist can test different positions and try to minimize it.
This said, I wish all the best to Stryd. Nowadays I guess most users are triathletes, or cyclists who also run from time to time, as they are used to training with power concepts and jargon. I guess it might also be useful for people who train often on rolling roads or in very, very windy regions, or in places with very bad GPS.