So now that I've had a bath and my breakfast, I can come back to this.
According to the author, Phylis Skloot Bamberger, the purpose of the voir dire is to disclose prospective jurors who are unable to fulfill the obligations of a juror or who are not capable of undertaking an impartial evaluation of the evidence and application of the relevant legal rules. Such disclosure leads to excusal of jurors for cause.
So it wouldn't be enough to find that a particular juror had, for example, a mother who had died as a result of the fucked up system of medical insurance in the USA, the prosecution would need to demonstrate that because their mother died as a result of the fucked up system of medical insurance in the USA, the juror wasn't capable of undertaking an impartial evaluation of the evidence and application of the relevant legal rules.
I don't think this will actually mean that they won't be able to put together a jury, but it may make the voir dire process pretty long and interesting if the prosecution decide to go down this road.