A social "credit score" system is a way to control the behaviour of people in a society - by those who deem the control necessary for "the greater good".
They are different classes of things - a financial credit score can be improved if your finances improve (by luck or by hardwork). A social credit score can't be improved unless you change your person/beliefs.
How?
The scare quotes of “the greater good” you used for the social credit system can equally be used to characterize credit scores as a way to control people’s financial and employment and living prospects in the interest of the “greater good” of financial markets. I think the idea that markets and the finance sector setting credit scores that have far reaching impacts on people’s lives is somehow categorically different than the state implementing a social credit system that might have similar outcomes isn’t correct. So we should talk about them in similar terms.