Bes:
I do not know why you are diverting the subject, because the answer to your question
is fairly clear for fan motor loads: the motor current follows the voltage variation. But this is not what the OP is seeking.
I do not know why you are diverting the subject, because the answer to your question
What if the motor was running at half rated load - or even no load?
How then would "improving" the voltage affect the current? Up? Down? Stay the same?
is fairly clear for fan motor loads: the motor current follows the voltage variation. But this is not what the OP is seeking.