You should not let one review stop you from reading Barrett's book. The subject is highly fascinating and important since much of our lives are ruled by emotions and feelings. I note that the review is from one "emotion researcher" who might be focusing on finer nuances which might not be relevant for a initial broad understanding of the topic for a general audience. Also the reviewer quotes Paul Ekman (i got introduced to this subject through his book Emotions Revealed) who has had his own research questioned - https://en.wikipedia.org/wiki/Paul_Ekman#Criticisms. Nothing is set in stone here; marrying Social Psychology to concrete Neuroscience is a very difficult endeavour so an exposure to all viewpoints should be sought out.

I second the recommendation. I thought it was great.