100% they do.
I'm not even sure that public feedback counts at all, to be blatantly honest. One 4/5 tanked my JSS 11 percent (from 100% to 89% ) with 20-something jobs and 8xx hundred hours worked, all with either no score or 5/5. It's taken me a few months and positive reviews to nudge it back up to 91%. Most of my clients are thrilled (I make cartoons, so that may have something to do with it haha) and are excited to tell me about the scores they leave. It's pretty obvious that the secret score is the one that counts the most, here.