Since his remarks passed me by at the time, and I firmly stand in support of the efforts the vaccines represent, I tried finding some sources on them today. I found the following Newsweek article pretty credible and insightful, and while I still disagree with how he seemed to want to stir an overall counterproductive sentiment, I found his actual comments unexpectedly restrained, or at least somewhat intelligently, and credibly made. Unlike any other public figure I heard speak decidedly critically on the topic, especially the aggressively mindless podcast tourists.
The article has ample annotations after each segment, I suggest reading it if you find the topic worth your time.
https://www.newsweek.com/robert-f-kennedy-jr-vaccines-covid-dr-fauci-i-read-science-1572688