Something about induction motor operating

I want everyone to understand this is not personal. I am only trying to make a case based on facts. I will touch on the three main points you make here.

1. "No induction motor operating unloaded will have a much lower current than a motor loaded" This flies in the face of reality. The difference in work related current and unloaded current can easily be seen by comparing the FLA and the magnetizing current. You cannot say that an uncoupled motor (completely unloaded) and a motor operating at FLA will have essentially the same current draw.

2. "More water flow means more torque and power on the motor shaft." This is correct, however, you are assuming there is no throttling of the pump output. If you are pumping into an unrestricted system this would be true. This has not been stated nor introduced into the original question. Adding more complexity to a simple question does not make you more correct.

3. "My suggestion was to control the load on the motor shaft so to avoid an overload and overheat at 460V/60Hz" Several things are wrong here.
A. Of course there should be control of the load to assure the motor is protected. You are assuming there is no control over the flow.
B. If the motor is going 20% faster than the motor's cooling fan will deliver more air flow and therefore more cooling.

I wrote this article to pass on my experiences and knowledge to those with curiosity and problems who ask questions here. It is incumbent on us all to give thoughtful and meaningful answers to the inquiries brought before us. Let us leave out the obfuscation and help those who come here for answers.