> The legislature should be replaced with an assembly of citizens picked by lottery.

that sounds like jury duty selection, in the US anyway, and juries are famously dysfunctional at times, with a single member ignoring the rules and trial and just voting politically.

That would be less of a problem in a legislature, where you don't need unanimity and there aren't any comparable rules about how you are supposed to vote.

good point!

Do members have right to vote according to their conscience?

If yes - why is that a problem? They stick to the overarching rule, and you should argue the rules must be amended.

If not - that's a huge problem IMO and can be summarised with "why pretend jury has any say If they must not stray from the way the case is presented and defended (knowing very well how awful public defense is and how dishonest sometimes police and prosecution can be)" and not replace it with just a judge?