So the author cites findings that how-long you breastfeed for or amount of breastfeeding you do has an effect (e.g. once a day vs twice a day) that's a big unexplained phenomenon (which could NOT be explained by maternal IQ, SES, etc).
To quote this author's interpretation of the literature "Although the topic is controversial, and a recent systematic review identified heterogeneity between studies, among the 4 studies with the least bias (each >500 subjects, controlled for maternal IQ, breastfeeding recall duration <3 years) breastfeeding improved performance on IQ testing by 1.76 points (95% confidence interval, 0.25–3.26), suggesting a small but durable impact of breastfeeding on intelligence.10"
(Again 2017, fully aware of the difficulty of controlling [1])
Now does this case-closed prove breastmilk bumps IQ? No, it proves my original claim that this is hotly contested.
1. Breastfeeding: What Do We Know, and Where Do We Go From Here?