if your motor pulls well put a bigger controller on it( most bang for the buck) capiche? Enjoy your life, life is too short to worry about semantics. I take it you cannot send it back.
100% agree. My "750" geared hub off the internet bike has "250" stamped on the motor, and a 17?W controller. It wouldn't even go out the box. After reading all the after sales horror stories decided to not even waster my time and energy trying to get the seller to fix it.
Problem was a faulty controller so replaced it with a 25A KT controller and a genuine color KT display (the old b&w KT clone may have been fine). I just wanted to make sure everything was compatible.
With a milk crate full of fishing gear, fish, me at 90kg it'll pull up steep rough fire trails without me needing to peddle. Couldn't be happier, and learnt a lot, actually enjoyed the experience, of fixing it. It now preforms better for my purpose than I even originally expected. As you say "life is too short to worry about semantics". Just move forward.
P.S. I still have no idea if its a 250 rated motor or just stamped that way to comply with Australian laws (which are a max 250w rated motor).