What a thread!!
Regarding laminar flow airfoils...they are usually cambered just like any other unsymmetrical airfoil (the P-51 had a unsymmetrical, but laminar, airfoil).
An inverted climb under 'normal' conditions would be an uncomfortable experience in a WW2 fighter. 'Normal' in this case means a sustained climb where the aircraft is at or near one G.
The unsymmetrical shape of the airfoil would tend to produce a lifting force off the 'top' of the wing regardless of the attitude of that wing. If that attitude is down, then that lifting force is also down...and would have to be offset by an equal and opposite force to keep the aircraft from going down.
In any aircraft, the pilot gets that equal and opposite force by pushing forward on the stick How much? He needs to see minus one G on the G meter.
The difference between a symmetrical and unsymmetrical airfoil aircraft is that the pilot in the unsymmetrical aircraft has to 'push forward harder' to get the needed angle of attack on the wing to obtain the minus one G. Generally speaking, the unsymmetrical aircraft will require a greater AOA than its counterpart. This AOA may or may not be attainable...or sustainable (the aircraft may 'stall' first).
Anyway, the real point is that I can see no reason for an inverted climb in RL...now if the sim programming gives a particular advantage under these conditions...well, that's a different story!
Andy