I was called for jury duty and sat on a panel once. The case was involving someone with mental illness dying. The way they did jury selection was to give everyone in the panel a placard and to ask to the group if a question applied to them before following-up individually with potential jurors. It got to the point where they lawyers started off as "Does anyone other than Dr. interchange have experience with ... ?"
Aside from that anecdote, the actual jurors they selected were the people who were the absolute most bland, impressionable, inexperienced balls of clay they could find. I have only anecdotal experience, but it makes sense to me that lawyers want jurors they can convince of things -- not jurors who show aptitude for finding truth in a trough of misleading information.
More on topic: There is no way in hell I think Peter Thiel would ever be selected for a jury. It would have been more cost-effective (I'm not saying right) to grant his request for exclusion.