"Maybe the analysis of numbers is the wrong approach "
That's one of the smartest things that's been said in this thread, so here's 5 points.
"just looking through the lens of the best performing combinations "
Is simply a different way of analyzing numbers, so I'm going to have to deduct 5 points.
"I am starting to see that test draws are meaningless"
It's almost as if you've figured it out.
" test draws ... added more noise to an already chaotic system. "
That or more data. The problem is that all the data in the world won't help because you're not just trying to hear a song in the white noise, you're trying to predict what song you'll hear next.
"Any "scientific" method or approach to the lottery does not need to take this into account as long as you're sticking with one state "
Yes and no. No because you can't predict random. Yes because if there was any chance of predicting a future draw you'd need to account for the things that affect the drawing. Aside from the misguided notion that past drawings will offer some magical insight into future drawings, people who try to analyze those past drawings don't actually know which numbers fell for given drawing because they don't actually draw numbers. What they do is draw balls with labels, and because they use multiple sets of balls knowing they selected a ball that was labeled "7" doesn't tell you which ball was selected. On the off chance that each ball doesn't have almost exactly the same chance of being selected as every other ball that bias would likely be averaged out somewhat by other ball sets. Multiple ball sets is one of the ways the lotteries use to ensure random results that can't be predicted.
"my system is completely unique. "
So it fails in away that's completely different from the way any other system, strategy, etc fails?
"I don't recall stating what my "strategies" are. "
Your memory must be incredibly bad. You've told us 3,481 times that your strategy is to use probability math. What you've never stated is a coherent explanation of how that works.
