Actually with the fan on it can actually still restrict air flow by creating drag. The fan is designed to push a certain amount of air, let's just call it 1,000 cfm for a nice round number. So the fan is on and it's pushing 1k cfm when you're sitting still, adding that to the air the mechanical fan is pulling from the other side and everything is nice.
But then you start driving. And at say, 30 mph or more you're trying to stuff a whole hell of a lot more than 1,000 cfm through that fan because of the incoming air velocity. Well, the fan only wants to push 1,000 cfm, so now that electric fan is creating a **** ton of drag. Is it going to allow more than 1,000 cfm through? Absolutely. Will it let through as much as would come through without it in the way? Absolutely not.
It depends on a ton of things, fan blade design, the RPM the fan spins at, how many CFM it was supposed to flow and the incoming air speed that it was designed around. If it's a cheap fan it may have only ever been tested when stationary. But the bottom line is, at some point that pusher fan spinning in front of the radiator is going to create more drag/resistance than it's going to move air. Same reason why propeller driven aircraft have a maximum top speed, or why even jet engine aircraft have a maximum top speed- at some point the incoming air speed is a problem too big for the fan, propeller, or turbine to handle. For propellers things get problematic when you get close to 500 mph, for typical jet engines you actually need subsonic air coming in and that gets real tough when you approach Mach 4 (reason why the SR71 has giant engine nacelles). So then you have to go SCRAM jet and have supersonic incoming air, buuuuut the SCRAM only works at Mach 5+ so you gotta go that fast before you start.
Anyway, I digress. Yes, the cheap electric fan running in front of your radiator will absolutely restrict air flow when the car is moving fast enough to put more air through it than it was designed to move by itself.
Probably worth measuring the diameter of your pulleys and calculating the ratio of your crank pulley to water pump pulley. The non-AC cars had HD water pumps (8 vane and a larger diameter impeller) and a .95:1 ratio, the AC cars ran a 6 vane water pump and a smaller diameter impeller but a 1.3 to 1.4:1 ratio depending on the model/engine. So they spun a lower output pump at a faster RPM, with the fan speed probably being the thing the factory wanted to improve the most.