There are many ways to rate an electric motor. You can't really tell how conservatively they are rating it. How much safety margin is in their rating, etc. The power rating is not a very detailed indicator at all. Simple things such as changing the wheel size makes a big difference in actual use. The windings and voltage make a difference. How hot your environment is makes a difference as to how much power it will really handle. A better way to compare motors is magnet width and other parameters like motor weight, but even that is difficult because a really well designed motor may be lighter. The real ratings are often harder to get to - efficiency, max torque, RPM per volt, turn count, wire gauge, magnet width and strength, gap, quality of bearings, axle width, offset required, insulation temperature rating, magnet temperature rating, lamination quality and thickness, quality of materials, water sealing, etc.
At the end of the day you can choose a motor that folks have a lot of experience with, and then you'll have some idea of what you're getting. Or you can choose something else, and get something that you will have to experiment with and find out it's actual characteristics. There are a lot of ways to save money when making a motor, cutting corners.
note - motors don't cut out. Controllers cut out. This typically happens when the motor current exceeds the controller's safe limit. This can happen when giving too much throttle at a low speed. This can be adjusted on some controllers by programming to ramp up power more slowly, or setting the controller for a lower speed or current. It may indicate a controller that is not well matched to the voltage, motor and wheel size.