That is just not how anti-vaxers work, if you ever talked to one. There is a multitude of problems they can say they found even with an RCT with 100k participants. You are assuming you are talking to a person with years of experience with science and critical thinking. That's not a typical antivaxer.

And if you do talk to a person like that, no press release is a problem for them, they see right through it.