If billionaires have all the money then there's nothing stopping them from buying all the stuff the economy can produce and leaving the rest of the population to barely get by or starve. Certainly, higher income people might currently spend less than their share of total income (at least between 2017 and 2021, see BLS paper, Garner et al., 2024, Gini of 0.3ish vs what I believe is 0.4ish for post-tax income) because poor people need to spend more of their income on things like food or rent, but there's no reason why the share of spendin by the top x% can't increase. In fact, as I understand it, it already has, according to [2] who themselves cite Moody, the top 20% accounted for 59% of spending in Q3 2025, which was a marked increase from the 40% in the BLS paper.
Now, the top 20% certainly aren't billionaires, but we also have to remember that the Luddites also benefited significantly from the automation of spinning before they themselves were replaced by automated weaving and subsequently suppressed by the state. There is no reason to think our current crop of labour aristocracy immune from the whims of capital when the time comes.
[BLS 2024]: https://www.bls.gov/cex/a-distributional-approach-to-us-pers...
[2]: https://www.empower.com/the-currency/money/life/k-shaped-eco...