This seems to suggest that the correlation means hat patience causes wealth; but why assume the causation isn’t in the other direction?
(Note also that subsequent studies [2] found much less significant results than the famous study - and another study [3] found evidence of, as you say, a reversed correlation.)
[1] https://en.wikipedia.org/wiki/Stanford_marshmallow_experimen... [2] https://www.theguardian.com/education/2018/jun/01/famed-impu... [3] https://www.theatlantic.com/family/archive/2018/06/marshmall...
Of course, there is causality the other way round as well, that is, a basic level of stability and wealth allows you to save.
Spending on disposable goods doesn't scale linearly with wealth. That's why consumption taxes are regressive.