The story is not who signed the Barrington Declaration but that its ideas are unsupported by scientific evidence. Deliberately and purposefully employing SARS-CoV-2 as your vector to achieve herd immunity presents many dangers and unintended consequences.

Medical Mythbusting Commentary for October 15, 2020

Herd immunity letter signed by fake experts including ‘Dr Johnny Bananas’

Scientific consensus on the COVID-19 pandemic: we need to act now

And for those who propose that Sweden has the right approach:

The Swedish COVID-19 Response Is a Disaster. It Shouldn’t Be a Model for the Rest of the World