I'm fairly sure lawmakers don't have the definitions either.

Or don't fully understand what the engineers told them.
wattage as describing motor ratings are another story from controller specs. Much depends on the definition of continuous, which may be different for different people, or different engineers.
In my mind, continuous use is defined when motor heat reaches equilibrium under a given load. Say the load is one bike, one 150 pound rider, and the load is 20 mph on a flat road. 400w typically. At this load, typical for 20 mph travel, the motor will, on an 80 degree day, reach max temperature of about 120F and then stay there no matter how long you ride.
Can the motor run at 120F indefinitely, hell yes. Almost all hubmotors can do this. So you often see ratings stated as 400-500w. Engineers can agree, that motor x can definitely sustain 400w all day if the rpm is fast enough.
Can you melt a motor with a load of just 400w. Hell yes. Ride up a very steep hill at less than 5 mph, with watts limited to 400w. Most hubmotors will eventually melt, since 200w or more is now made into heat. Heat never reaches an equilibrium in this case, it just reaches about 450F fairly soon and smoke pours out the motor.
This makes a motor rating very hard to pin down. It will do 400w all day at one rpm, but at another will melt in 45 min.
This is why every time people ask"whats the max amps for such and such brand motor?" we start the answer with a lot of "it depends" type prefaces.