You are correct that IL-2 and Combat Flight Simulator series do not model stalls and spins accurately or well. What I meant by "reasonably accurate stalls and spins" was primarily that all types of stalls spins are possible, happen under the right conditions, and look like the real occurence.
The one part that is most often neglected in simulators is the straight-forward accelerated stall. As you probably noticed, in the IL-2 series the aircraft cannot fall straight forward in an accelerated stall, as most real aircraft can do (including most of the real counterparts of the aircraft portrayed in the IL-2 series). Therein, spin status is a three-state switch; left, right, and none.
So, while your description of the spins in First Eagles is very helpful, the part I most want to know is this: can any of the aircraft in that simulator fall straight forward in slow and accelerated stalls, under any conditions? A real aircraft, barring a few odd designs, should be able to (at least under certain conditions) stall straight forward and be held indefinitely in the stall without entering a spin.