You can't look at a fan the same way you look at a positive displacement pump. A fan can essentially cavitate or slip with the result of lessened flow. Impeding flow in front of a fan will reduce it's output. Whether or not that is enough to cause overheating is a different issue all together.
Block off the back of a box fan and see how much air it blows out the front. It's going to blow less than if it were unrestricted. Now put a AC filter element behind the fan, it will still flow but the restriction will cause it to move less air out the front. Now remove all restrictions and test again and you'll see optimum flow.
The air speed math only works if you force the same amount of CFM through the smaller opening.
The math was done considering a fan and not a positive displacement pump if that's what you are asking.