I looked over the roulette system link. There are so many flaws, I don't know where to begin.
To start with, reputable online casino SWs use a complex RNG or P-RNG that is verified by independent 3rd parties. Some softwares go so far as to use truly random events as seeds for the P-RNG. For example, Boss Media uses a measure of Zener diode based white noise. They go through such extreme measures, to make outcomes truly unpredictable. They do not simply choose the outcome that hasn't happened recently to make things look more fair.
The system involves increasing your bet size with each loss, until you are betting £100 per spin, if you have enough sequential losses to reach the final entry in the bet size table. They don't say what happens if you lose the £100 bet. Do you keep increasing your bet size until you are betting your all of your bankroll on a single spin? What happens if you lose that spin where you are betting everything?
The page says that casinos don't care that players are using their winning system. The reason casinos don't care is because the system doesn't work. Once in a while a game with a SW flaw comes out, so players can gain an edge. These games don't last long. Casinos realize when they are losing an abnormal amount of money on a game, and take measures quickly.
The results that have been posted, such as winning 3 hands are well within normal variance. They do not show that the system works. To show the system works you need to compile results for a large number of hands. You do not need to risk your money in real mode to do this. Simply record hands in practice mode. If anyone takes the trouble to compile a good amount of Win/Loss results I will give the chance of the result occurring a random distribution. This result can be used to show, if the system works or not.