This doesn't prove anything! A progressive betting system is designed to do just this and provide wins in the short term. The proven math is that it can't not sustain that win rate or small wins into the long-term. The wager would have to be something fairly longterm to show whether Singer's system can win at the rate of $100k a year that he claims.
Why are you people getting hung up on this session win crap? THAT is what a progressive system does! Many small wins MORE THAN OFFSET by a couple much larger losses. This is nothing new. Progressions have been around for hundreds of years and the mathematics is more than proven. Singers system is a progression, plain and simple. A couple small variations, but still very much a progressive betting system. And it will perform exactly like a progression betting system. He isn't doing anything that will change that math.
Do you know what the definition of insanity is? Doing the same thing over and over and expecting a different outcome. That is what this is....insanity! It is a progression systems. Progression systems can not win longterm. Proven math!