(this is why I named it Player Edge; because it adds more fairness to the game)
There is no such thing as "more fairness".
Based on preceding games, the script can indicate (to a mathematical extent) what kind of games are about to come consequently.
Each round is 100% independent from each other. What you are describing is the classic
gambler's fallacy.
It is important to note that no matter what, gambling will always be EV- for players and EV+ for the casino owners.
At least you agree it's still EV-, players are still expected to lose money. (And therefor one must be very stupid to buy this.)