When a fan is sized for an example 30HP based on CFM required and the fan is specified at 50HP with a brake HP of 30HP (Design) the motor is adjusted to operate to output the CFM of a 30HP fan but will the current draw still be 50HP? or 30HP? assuming an across the line start no VFD, two speed etc.
You raise 2 different issues reading between the lines, starting and running.
Peak, 2 or 3 cycle inrush (flux development) for a 50HP motor vs a 30HP motor will be roughly in the 5:3 proportion. But you never mentioned a 30HP motor, so that is not of interest.
With similar motors (same family from same manufacturer), the CURRENT of the 50HP loaded to 30HP will be higher than a 30HP loaded to 30HP. The POWER will be very close to the same.
Taking a Baldor CM4115T, at 50% load it is 93.1% efficient, 33.8A; at 75% load, it is 93.6%, 45.6A.
DARNIT, they don't give performance data on the 25, 30, or 40 versions of that motor ... but a 25HP U-frame at 100% is 92.4%, 30.35A ... less efficient (smaller motors GENERALLY are), lower amps. So what we see here is that THIS 50HP uses less energy at half load than THIS 25HP at full load ... but I was unable to do an apples:apples comparison with web data. This contradicts my premise above ... dumb engineer ...