This mostly shows off the silliness of the jury system. Why on earth does anyone think grabbing 12 randoms is gonna somehow lead to proper application of justice? I could see it when the US Founders may have thought it'd be other well-educated folks like themselves - it's a good check (if that's what they indeed intended, I don't know). Why would we think untrained folks are going to do a good job figuring out complex things and properly weighting evidence? Courts already have an issue with not understanding Bayes; adding to it by bringing in even less critical people isn't going to help.
The style is weird too. The juries don't seem to be able to do their own investigation; they are passive, relying on a presentation given to them. They should be able to ask questions, inquire about things like the base rate of an occurrence. And things like jury instructions, telling people to disregard info or their biases. This is simply not how human brains work. Let alone untrained ones. We'd be far, far, better off having a panel of judges. And proper review to identify systemic issues.
Someone said "If I'm guilty, I'd much prefer a jury; if I'm innocent I'd prefer judges".