Meaningless mess certainly.
I thought that technically the motor was meant to be marked as 250w (or less). I can't remember where I got that from, and can't find a reference.
To conform with EN15194, an ebike has to be marked with various things, including manufacturer, speed and power; however, I don't believe that your bike has to comply with EN15194 to be legal. The law is that it has to have a motor rated at no more than 250w, max speed of 25km/h and the motor must stop when you stop pedalling. There's a 10% tolerance allowed on the speed when testing to cover measurement errors. There's no test to for the rated power that will expose a more powerful motor, though if your motor is outputting 2KW, some difficult questions could be asked.
I think it would be wise for anybody who's done their own conversion to add their own label to the bike somewhere with that info on it, no matter how amateurish. You can use the motor manufacturer as the manufacturer. Print it out and use 50mm wide clear sellotape to stick it to the frame or motor somewhere.
Example:
Bafang Motor Co. Ltd, SuZhou, China
Max speed 25 km/h
Rated power 250w
36V