There is less air to move whether you restrict the input or the output.
No. When you block the inlet, there is less makeup air available to be passed from the low to high pressure differential. You also reduce the overall pressure differential across the impeller.
The blades of an impeller are comparable to the wings of an airplane. An airplane will have significantly more lift at sea level than it will at 40,000 feet, which is why all airplanes have ceilings for which they cannot exceed. Above the plane's particular ceiling, the wings can no longer achieve enough upward lift (force) to overcome the plane's weight.
An impeller with a blocked inlet is similar, in that there is less air available to be moved across the blades, and therefore, less force required to move that small amount of air.
Unlike other types of compressors/pumps, such as a piston pump, a fan-type air-pump cannot have a pressure differential without air flow. We know the pressure differential exists because we can feel it with our hands. So even though there is no external air flow with either inlet or outlet blocked, there will always be internal air flow across the pump itself. The only time you will see a zero pressure differential across a fan-type air pump is when it is immersed in an absolute vacuum. The more molecules available to be moved across the differential, the higher the differential will be. This goes back to the airplane analogy.
Yes it is true that a blower will be working harder when it is pushing a large volume of air. It isn't solely the volume of air that is causing this work to be performed, but the pressure differential that the volume of air must cross.
The fan curves that were posted while I was still writing this response are somewhat misleading. First off, they imply that there is maximum airflow with zero pressure. That is referring to the backpressure of the system, not the pressure differential across the blower. This is comparable to the resistance of a wire, where the lower the resistance,the higher the current flow. These graphs are not taking into account the pressure differential across the blower itself, which is what this discussion is about.
The point is that this curve might lead some to believe that maximum air flow will occur with zero pressure differential. Air cannot flow if there is no pressure differential. Just as electricity cannot flow without a voltage differential.
The other thing you will notice about the curves is that they never go down to zero airflow. The power required by the blower is dependent on both flow and pressure-differential. When the air flow is relatively large, the change in pressure differential is very small, and therefore, the less significant of the two components. But when the volume is very low, the pressure-differential component becomes more significant, because it changes more rapidly.
Within normal operating range, the blower works harder as the volume increases (due to a reduction in the backbpressure of the lines). However, below the normal operating range, you will see a slight increase in power required because the pressure increase. This is why there is a difference between blocking the inlet versus the outlet of a blower.