Lets also note that these are not closed loop systems:
If the pump draws from a pool and does not return the water to that pool, then the level of the pool decreases over time. As the level of the suction pool draws down, the suction head decreases or, in other words (by definition) the total vertical head loss increases.
Again, if we are talking about an experiment where water is drawn from a container, but not returned, then the total "head" of the system changes as the water is removed from the pool. When the experiment is AT or near the shut-off head, then things can get strange as the more efficient system will draw the pool down faster, but also reach shut-off head faster. The less efficient (more restricted discharge) will flow at a lower rate for a longer period of time before reaching shut-off, but the output will look much more uniform.
Moreover, observing the discharge pool can be confusing. The efficient pump with large discharge plumbing will hold twice the volume that the less efficient (smaller) discharge plumbing holds.
Likewise, observing the discharge stream may also be counterintuitive, as the large pipe will have more surface area, a lower velocity and what appears to be a less aggressive (low pressure stream) flow. The smaller plumbing will discharge at a higher velocity and look more aggressive (with a higher pressure stream).
So again, when we are talking about observations of the systems in question at or near "shut off head", what we see is a complex interaction of variables, but the physics don't lie

Given the same physical properties, larger discharge plumbing presents less total head than its smaller counterpart. Less total head means more total flow
