They are not that same thing. Watt-hours are watts x hours, and watts per hour is watts / hours.
A watt is an amount of energy per time. Multiply that by a unit of time, and you get the amount of energy.
Watts per hour is a little harder to wrap you head around. It’s a measure of how fast the flow of energy is changing. A positive value means that the flow of energy is increasing with time, and a negative value that it’s decreasing with time.
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