“But does a higher ESG score for an investment product necessarily translate into doing more good?”

[COMMENTARY] Though not specifically addressed in this article — though I concur with its thesis — is that the services or products of a company are often left out of ESG sustainable performance ratings. So a few tobacco companies can still score highly on ESG according to some raters!
Doing Good: Where Sustainable Investing Gets It Wrong, by Lucie Teplá, December 16, 2020, INSEAD, Singapore.