If you think about it, the fan absorbs power by accelarating air from
zero to some speed.
If you cut off the air flow, the motor is just churning round the
same air and doing no work except for motor losses and air friction
losses inside the fan housing.
A commutator motor will speed up and use less current.
An induction motor will speed uponly slightly and use less current.
I seem to remember the power/speed relationship with fans is a cube
law.
ie it takes eight times the power to drive a fan twice as fast.
And a square law speed to pressure
ie four times the power double the pressure/suction.
So it makes a big difference.
If you block the blow side of the air flow the fan will thrash round
in high pressure air.
If you block the suck side,it will thrash around in near vaccuum.
So in the latter case, it will use the least power.
From the current readings, things about the fan performance/efficiency
can be deduced.
I forget the details, it was years ago we done these things at tech.