To Spin:
1) You must be stalled.
2) You must be cross-controlled. ( slipping or skidding )
Transitioning from a flying angle of attack to a stalling AOA causes the stall regardless of airspeed.
Stomping the rudder will cause the cross-control, but will not cause a stall by itself, immediately. The airplane will bank when the rudder is stomped, but there should be a delay before the stalling AOA is reached.
Stomping the rudder at high speed will cause the rudder or empennage to depart the aircraft. The resulting loss of directional control may end in a spin, if the aircraft has not already completely come apart.
There are limiters that increase control pressure with speed on many WWII aircraft to prevent the pilot from making a control input with enough authority to rip the control surface or supporting structure from the aircraft, but it is still possible to get it done. I've been told that the reason the control surfaces remained fabric is that they would indicate over-g first and cause the mechanics to look closely at the airplane for further damage.
This is probably one of those cases where the flight model covers 90% of the envelope properly and the amount of code and processing power to get the accuracy increases exponentially with the percentage of realism.
Flat spins are caused by the CG characteristics of the airplane. A P-39 is famous for this because of the aft CG. A Mustang with the fuselage tank full is likely to do the same thing. F-8 Crusaders were placarded against spins because they flat-spin. Recovery is problematic. The Piper Cherokee is placarded against spins for the same reason.
Any flap incidence will keep you in the spin. Any excess power will keep you in the spin. Any cross control will keep you in the spin. Skydivers sliding to the aft bulkhead will keep you in the spin. ( That full aft-CG thing, again. Skydivers sliding to the foward bulkhead will cause an irrecoverable dive, but that is another story. ).
Recovery is: P-A-R-E
(P)ower off
(A)ilerons neutral
(R)udder opposite
(E)levator recover
Violently unloading the aircraft may be necessary, also. ( the Mustang in the game, particularly, which needs to stay unloaded throughout the recovery to get it done... )
Retracting the flaps is necessary.
Whew!

Okay, CFIs and Unlimited Aerobatic pilots correct me!
Private, ASEL....