The evidence base needs stating carefully, because the popular account and the fashionable correction are both overstated.
First, a citation point that is widely got wrong. Walter Mischel's early 1970s experiments studied the delay behavior itself, including what children did to make waiting easier. The claim that delay time in preschool predicts adolescent outcomes comes from a later follow-up, Shoda, Mischel and Peake in 1990. A page attributing the achievement correlation to the 1972 work has the wrong paper.
Second, what the replication actually found. Watts, Duncan and Quan published a conceptual replication in Psychological Science in 2018 which explicitly set out to replicate and extend the 1990 study. Concentrating on children whose mothers had not completed college, they found that an additional minute of waiting at age 4 predicted a gain of approximately one tenth of a standard deviation in achievement at age 15. That is a real association. But they report that the bivariate correlation was "only half the size" of those in the original studies, and that it was "reduced by two thirds in the presence of controls for family background, early cognitive ability, and the home environment." Associations with behavioral outcomes at 15, as opposed to achievement, were "much smaller and rarely statistically significant."
Third, the detail almost nobody quotes, and the most interesting one. The authors report that most of the variation in adolescent achievement came from being able to wait at least 20 seconds. The predictive signal is concentrated at the very start of the waiting period, not in the several minutes of heroic self-distraction the popular story is about. Whatever the test detects, it is detected almost immediately.
Fourth, the correction is itself contested. Published commentary on the replication followed in Psychological Science and in Frontiers in Psychology, and this entry does not summarize those arguments. The honest position is that the association is real, considerably smaller than originally reported, substantially accounted for by family circumstances, and still under discussion. Describing the marshmallow test as debunked overstates the position in the opposite direction from the version it is correcting.
The inequality reading is part of the finding rather than a gloss on it. If about two thirds of the association disappears once family background, early cognitive ability, and home environment are accounted for, then a large part of what the waiting time reflects is circumstance rather than character. Waiting is easier when experience has taught you that promised rewards arrive. That is a reason to be careful with any framing that treats patience as a virtue and impatience as a failing, and it applies directly to personal finance, where the same reasoning is routinely used to explain outcomes that have other causes.
The site's standing posture on behavioral findings applies here as much as anywhere. The direction of a result is more reliable than its magnitude, effects measured in a laboratory move with stakes, framing, and population, and a descriptive field identifies where behavior diverges from a model without supplying anyone's goals.