The boots theory is a concrete way of expressing the risk of ruin, which is the principle advantage of wealth (though our society has layered on many others): the rich can afford to take more risk, and consequently enjoy more reward. A poor person who buys the $50 boots has a much higher risk of coming up short for something else, and that lapse may have disproportionate consequences. So they go for the cheap boots, which end up costing them more in the long run, trapping them in an endless cycle.
Another way to consider it is through the lens of meritocracy. Consider two poker players of equal skill. Have them play each other until one has lost everything. Run this competition over and over, starting each player with a random stack. Over many trials, the player starting with the bigger stack will win in proportion to the ratio of their stack to their opponent's. Given a large enough ratio, this wealth advantage can begin to overcome greater and greater advantages in skill on the part of their opponent.
In the US, the ratio of the wealth of the top 10% to the wealth of the median has risen from 5.8x in 1963 to nearly 10x in 2022. In the same period, the ratio of the top 1% to the median has risen from 35x to 70x. And the effective advantage is probably much higher, as this calculation does not take into account liquidity: most of a median family's wealth is in their family home.
There's another important aspect of being wealthy that I've noticed myself. The less money you have, the more of your brainpower is spent in conserving it. Figuring out how to make rent this month, balancing your checkbook so you don't overdraft, keeping track of when payday is, looking through the newspaper to see what is on sale at the grocery store, is all time that could instead be spent thinking "how could I invest my money?", and "what are my longterm goals?".