The claim sounds plausible for several reasons that deserve to be taken seriously rather than dismissed.
First, the historical connection is real. The UCL Legacies of British Slave-ownership project identified over 3,000 individuals who received compensation payments when slavery was abolished in 1833. Some of their descendants are prominent in British public and commercial life. The money did flow somewhere. Wealth does compound across generations. It is not unreasonable to ask whether some of that compounded wealth is still traceable.
Second, there is a broader pattern in which historical injustice produces intergenerational disadvantage. The descendants of enslaved people in the Caribbean are, on average, less wealthy than the descendants of those who enslaved them. That asymmetry is real. The intuition that the asymmetry has historical causes is not unreasonable.
Third, the 1833 compensation payment is genuinely troubling. The British state paid £20 million to slaveholders, not to the enslaved. It was the enslaved people who were required to provide unpaid labour for a further four years under the ‘apprenticeship’ scheme. The state’s own actions at abolition suggest it recognised the financial interests of slaveholders in a way it did not recognise the interests of the enslaved.
Fourth, the argument has serious academic support. It is not a fringe claim. Williams, Beckles, and others have built substantial scholarly cases. Dismissing the argument as obviously wrong does a disservice to the genuine historical complexity involved.