Yes I have personal experience with this. Check out my MSN space.
Torque and horsepower can and often do go to max when starting, therefore fluid accelerations are high. A typical electric motor will develop starting torques and power draws 50% higher than at running torque. If you have a 2X HP motor, then you could have 3 x the rated pump power capacity during starts. Most electrical systems are sized at 2 x start-up draw. Now you have 3x. I don't recall having seen a circuit designed for 3x start currents.
When pumps start, all fluid in the system is being accelerated and power draws are high. That power going into the fluid during start of (correctly sized) motors is a typical cause of transient water hammer pressure waves.
Heating at low flows primarily depends on motor efficiency at that low flow, not the actual power required by that flowrate. Since the flow is low anyway, overheating can occur more easily.
All shafts have a shearing load capacity, at least check that.
Also possible that short circuit torque loads to the skid and foundation or motor mounts go to 3 times what what was originally designed for.
With a 50 HP motor, maybe nothing happens, but try it with a 5000 HP.