Are Sortitionists sincere?

Do sortitionists really believe their own rhetoric? A Citizen’s Jury will be called using the method of random selection. They then proceed to chew over the issue at hand, and normally decide by voting!

What’s the matter with these guys? Surely the matter should be resolved, either by Unanimity, or failing that by a lottery, weighted by the votes of the CJ?

I was inspired to pose this question after reading a piece about the rise of Majority Voting which is mostly about French and Catholic Church experiences.

The Anglo-juridical Jury (12 citizens drawn at random) used to require unanimity, and still needs 10/12 to convict. Who so?