Judging by the overwhelming number of enthusiastic answers from the LP members I surmise that the answer to your inquiry is no.
Which is not correct as most likely nobody bothered to analyse why pyramids win or don't. The correct answer is: it depends.
Pyramids belong to a group of systems I call combo selectors: they select entire 3-digit combinations for playing. All such systems without exception are subject to at least 2 prerequisites. Here I will look only at one but the most important: digit (0-9) frequency chart.
The example below is based on real numbers from Wisconsin Pick 3 in the late summer this year. I used sum of digits predictors to generate results. I used sums of 5 and 22 for comparison.
First, I computed the frequency of digits in each sum.
Digits in sum 5
Digits in sum 22
As you can see these sums are a mirror image of each other in the 28-sum Pick 3 range.
Next, I computed frequency for each digit in a 30-draw span.
Digit frequency
Digits 0-3 hit 42 times in 30 draws. These are the digits most important for sum 5.
Digits 6-9 hit 28 times in the same 30 draws. These digits are the core of sum 22.
Also observe the 30-draw trend for the sum 22 core digits: -16; that's very, very poor performance.
Last, I ran a backtrack simulation for each sum. Results below. I show only the total results although if you want to know I can show individual scores for each draw and for each sum. All calculations are automatic by software. Prizes for winners are the most common for Pick 3. Cost of a combo $1.
Backtrack for sum 5
Backtrack for sum 22
Differences in ROIs are so obvious they do not require a comment.
And what does this example teach us?
For combo selector systems it does not matter how your system selects combos. What matters is how digits in your combos match the current digit frequency charts. Therefore, you can make pyramids win (and make money) if you observe digits generated in their combos. As in all lotteries there are no guarantees (are there still people looking for these?) but probabilities are significantly higher if you select high frequency digits for your combos.
You may think that your system is immune from this rule. Don't fool yourself - this rule is universal and affected all systems that I tested. The message from this analysis is simple and clear: play digits that are not winners and it may cost you dearly.
I suspect that not following this rule is the main reason why so many systems proposed on LP had a 'meteoric" career: they shined when they matched the high frequency digits for a while and then they burned and fizzled away when they stopped, never to be looked upon again. Pyramids are one of such meteors. I don't think anybody bothered to check when and why they could win and when and why they could not. This would explain why you did not get any answers.
Digit frequency charts are not the only ones that affect combo selector systems. There are others but that's a story for another day.