There is also a difference in PEAK horsepower (which many manufacturers use for their HP rating), and RUNNING horsepower.
Peak HP is generally the Starting HP (capacitor start), Running HP is, well, actual HP available when the motor is running.
Big Difference!
If you want a visual, a RUNNING 5HP motor would physically be twice as big as a PEAK 5hp motor. Probably bigger.
I would always be interested in RUNNING HP.