One semi-popular house rule is to play Monopoly as usual, but move the pieces counter-clockwise instead of the usual clockwise - that is, hit the higher-end properties first and move down toward the lower-end ones. Another related house rule is to play in the normal fashion, but when someone lands on Free Parking, either that player or all players reverse direction. (Yes, that means different players could be moving in different directions. I didn't make up the rule.)
In the above versions, how does this affect the winning strategies? As discussed there, the properties landed on most often are the oranges and reds. Does reversing the board play for some or all of the game affect those odds to enough of a degree to make a difference in which monopoly rakes in the most revenue?